The sequences of the start values up to 100[]
1,
2, 1,
3, X, 5, 14, 8, 4, 2, 1,
4, 2, 1,
5, 14, 8, 4, 2, 1,
6, 3, X, 5, 14, 8, 4, 2, 1,
7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
8, 4, 2, 1,
9, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
X, 5, 14, 8, 4, 2, 1,
E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
10, 6, 3, X, 5, 14, 8, 4, 2, 1,
11, 34, 18, X, 5, 14, 8, 4, 2, 1,
12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
13, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
14, 8, 4, 2, 1,
15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
16, 9, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
18, X, 5, 14, 8, 4, 2, 1,
19, 54, 28, 14, 8, 4, 2, 1,
1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
20, 10, 6, 3, X, 5, 14, 8, 4, 2, 1,
21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
23, 6X, 35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
26, 13, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
28, 14, 8, 4, 2, 1,
29, 84, 42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
30, 16, 9, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
33, 9X, 4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
34, 18, X, 5, 14, 8, 4, 2, 1,
35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
36, 19, 54, 28, 14, 8, 4, 2, 1,
37, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
39, E4, 58, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
40, 20, 10, 6, 3, X, 5, 14, 8, 4, 2, 1,
41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
43, 10X, 65, 174, 98, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
46, 23, 6X, 35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
47, 11X, 6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
49, 124, 72, 37, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
50, 26, 13, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
53, 13X, 7E, 1EX, EE, 2EX, 15E, 45X, 22E, 68X, 345, X14, 508, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
54, 28, 14, 8, 4, 2, 1,
55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
56, 29, 84, 42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
58, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
59, 154, 88, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
60, 30, 16, 9, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
61, 164, 92, 47, 11X, 6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
63, 16X, 95, 244, 122, 71, 194, X8, 54, 28, 14, 8, 4, 2, 1,
64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
65, 174, 98, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
66, 33, 9X, 4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
67, 17X, 9E, 25X, 12E, 38X, 1X5, 574, 298, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
68, 34, 18, X, 5, 14, 8, 4, 2, 1,
69, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
6X, 35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
70, 36, 19, 54, 28, 14, 8, 4, 2, 1,
71, 194, X8, 54, 28, 14, 8, 4, 2, 1,
72, 37, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
73, 19X, XE, 28X, 145, 414, 208, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
76, 39, E4, 58, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
79, 1E4, E8, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
7E, 1EX, EE, 2EX, 15E, 45X, 22E, 68X, 345, X14, 508, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
80, 40, 20, 10, 6, 3, X, 5, 14, 8, 4, 2, 1,
81, 204, 102, 61, 164, 92, 47, 11X, 6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
83, 20X, 105, 314, 168, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
84, 42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
86, 43, 10X, 65, 174, 98, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
88, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
89, 224, 112, 67, 17X, 9E, 25X, 12E, 38X, 1X5, 574, 298, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
90, 46, 23, 6X, 35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
91, 234, 118, 6X, 35, X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
92, 47, 11X, 6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
93, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
95, 244, 122, 71, 194, X8, 54, 28, 14, 8, 4, 2, 1,
96, 49, 124, 72, 37, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
97, 24X, 125, 374, 198, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
98, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
99, 254, 128, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
9X, 4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
9E, 25X, 12E, 38X, 1X5, 574, 298, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
X0, 50, 26, 13, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X3, 26X, 135, 3X4, 1E2, E7, 2XX, 155, 444, 222, 111, 334, 178, 9X, 4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
X4, 52, 27, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X6, 53, 13X, 7E, 1EX, EE, 2EX, 15E, 45X, 22E, 68X, 345, X14, 508, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
X7, 27X, 13E, 3EX, 1EE, 5EX, 2EE, 8EX, 45E, 115X, 68E, 182X, X15, 2644, 1322, 771, 1X94, E48, 584, 2X2, 151, 434, 218, 10X, 65, 174, 98, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
X8, 54, 28, 14, 8, 4, 2, 1,
X9, 284, 142, 81, 204, 102, 61, 164, 92, 47, 11X, 6E, 18X, X5, 274, 138, 7X, 3E, EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
XE, 28X, 145, 414, 208, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E0, 56, 29, 84, 42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E1, 294, 148, 84, 42, 21, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E3, 29X, 14E, 42X, 215, 644, 322, 171, 494, 248, 124, 72, 37, XX, 55, 144, 82, 41, 104, 62, 31, 94, 48, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E4, 58, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
E6, 59, 154, 88, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E7, 2XX, 155, 444, 222, 111, 334, 178, 9X, 4E, 12X, 75, 1X4, E2, 57, 14X, 85, 214, 108, 64, 32, 17, 4X, 25, 74, 38, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
E8, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
E9, 2E4, 158, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
EX, 5E, 15X, 8E, 22X, 115, 344, 182, X1, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
EE, 2EX, 15E, 45X, 22E, 68X, 345, X14, 508, 264, 132, 77, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
100, 60, 30, 16, 9, 24, 12, 7, 1X, E, 2X, 15, 44, 22, 11, 34, 18, X, 5, 14, 8, 4, 2, 1,
The sequences of the start values up to 1000[]
See [1] for the graph of all start values up to 1000
The sequence of the start value 1001 (the famous Hardy-Ramanujan number)[]
1001, 3004, 1602, 901, 2304, 1162, 691, 1834, X18, 50X, 265, 774, 398, 1XX, E5, 2X4, 152, 87, 21X, 10E, 32X, 175, 4X4, 252, 127, 37X, 19E, 55X, 28E, 82X, 415, 1044, 622, 311, 934, 478, 23X, 11E, 35X, 18E, 52X, 275, 7X4, 3E2, 1E7, 5XX, 2E5, 8X4, 452, 227, 67X, 33E, 9EX, 4EE, 12EX, 75E, 1X5X, E2E, 298X, 14X5, 4274, 2138, 107X, 63E, 16EX, 95E, 245X, 122E, 368X, 1945, 5414, 2808, 1404, 802, 401, 1004, 602, 301, 904, 462, 231, 694, 348, 184, X2, 51, 134, 78, 3X, 1E, 5X, 2E, 8X, 45, 114, 68, 34, 18, X, 5, 14, 8, 4, 2, 1,
Current result[]
As of 1204, the conjecture has been checked by computer for all starting values up to 258 ≈ E.105×1016.
Number of steps for n to reach 1 for n up to 1000[]
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0+ | 0 | 1 | 7 | 2 | 5 | 8 | 14 | 3 | 17 | 6 | 12 | 9 |
| 10+ | 9 | 15 | 15 | 4 | 10 | 18 | 18 | 7 | 7 | 13 | 13 | X |
| 20+ | 1E | X | 93 | 16 | 16 | 16 | 8X | 5 | 22 | 11 | 11 | 19 |
| 30+ | 19 | 19 | 2X | 8 | 91 | 8 | 25 | 14 | 14 | 14 | 88 | E |
| 40+ | 20 | 20 | 20 | E | E | 94 | 94 | 17 | 28 | 17 | 28 | 17 |
| 50+ | 17 | 8E | 8E | 6 | 23 | 23 | 23 | 12 | 12 | 12 | 86 | 1X |
| 60+ | 97 | 1X | 12 | 1X | 1X | 2E | 2E | 9 | 1X | 92 | 92 | 9 |
| 70+ | 9 | 26 | 26 | 15 | 26 | 15 | 78 | 15 | 15 | 89 | 89 | 10 |
| 80+ | 9X | 21 | 21 | 21 | 21 | 21 | 73 | 10 | 32 | 10 | 84 | 95 |
| 90+ | 95 | 95 | 59 | 18 | 10 | 29 | 29 | 18 | 18 | 29 | 29 | 18 |
| X0+ | 7E | 18 | 3X | 90 | 90 | 90 | 3X | 7 | X1 | 24 | 24 | 24 |
| E0+ | 24 | 24 | 35 | 13 | 76 | 13 | 35 | 13 | 13 | 87 | 87 | 1E |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 100+ | 98 | 98 | 98 | 1E | 1E | 13 | 13 | 1E | 30 | 1E | 71 | 30 |
| 110+ | 30 | 30 | 46 | X | 82 | 1E | 1E | 93 | 93 | 93 | 57 | X |
| 120+ | 41 | X | X4 | 27 | 27 | 27 | 68 | 16 | 27 | 27 | 27 | 16 |
| 130+ | 16 | 79 | 79 | 16 | 38 | 16 | 38 | 8X | 8X | 8X | 38 | 11 |
| 140+ | 9E | 9E | 9E | 22 | 22 | 22 | 9E | 22 | 16 | 22 | 33 | 22 |
| 150+ | 22 | 74 | 74 | 11 | 33 | 33 | 33 | 11 | 11 | 85 | 85 | 96 |
| 160+ | 22 | 96 | 44 | 96 | 96 | 5X | 5X | 19 | 44 | 11 | 11 | 2X |
| 170+ | 2X | 2X | X7 | 19 | 6E | 19 | X7 | 2X | 2X | 2X | 44 | 19 |
| 180+ | 19 | 80 | 80 | 19 | 19 | 3E | 3E | 91 | 3E | 91 | 55 | 91 |
| 190+ | 91 | 3E | 3E | 8 | X2 | X2 | X2 | 25 | 25 | 25 | 66 | 25 |
| 1X0+ | X2 | 25 | 19 | 25 | 25 | 36 | 36 | 14 | 25 | 77 | 77 | 14 |
| 1E0+ | 14 | 36 | 36 | 14 | 36 | 14 | 50 | 88 | 88 | 88 | 36 | 20 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 200+ | 25 | 99 | 99 | 99 | 99 | 99 | 47 | 20 | 61 | 20 | 99 | 14 |
| 210+ | 14 | 14 | 36 | 20 | 31 | 31 | 31 | 20 | 20 | 72 | 72 | 31 |
| 220+ | XX | 31 | 31 | 31 | 31 | 47 | 47 | E | 20 | 83 | 83 | 20 |
| 230+ | 20 | 20 | EE | 94 | 42 | 94 | 20 | 94 | 94 | 58 | 58 | E |
| 240+ | 94 | 42 | 42 | E | E | X5 | X5 | 28 | X5 | 28 | X5 | 28 |
| 250+ | 28 | 69 | 69 | 17 | X5 | 28 | 28 | 28 | 28 | 28 | 42 | 17 |
| 260+ | 39 | 17 | 39 | 7X | 7X | 7X | 39 | 17 | 17 | 39 | 39 | 17 |
| 270+ | 17 | 39 | 39 | 8E | 53 | 8E | 4X | 8E | 8E | 39 | 39 | 12 |
| 280+ | 28 | X0 | X0 | X0 | X0 | X0 | X0 | 23 | 4X | 23 | 64 | 23 |
| 290+ | 23 | X0 | X0 | 23 | 17 | 17 | 17 | 23 | 23 | 34 | 34 | 23 |
| 2X0+ | 34 | 23 | E1 | 75 | 75 | 75 | E1 | 12 | E1 | 34 | 34 | 34 |
| 2E0+ | 34 | 34 | 28 | 12 | 4X | 12 | 45 | 86 | 86 | 86 | 34 | 97 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 300+ | 23 | 23 | 23 | 97 | 97 | 45 | 45 | 97 | 23 | 97 | 45 | 5E |
| 310+ | 5E | 5E | 81 | 1X | 97 | 45 | 45 | 12 | 12 | 12 | 34 | 2E |
| 320+ | X8 | 2E | X8 | 2E | 2E | X8 | X8 | 1X | 2E | 70 | 70 | 1X |
| 330+ | 1X | X8 | X8 | 2E | 2E | 2E | 23 | 2E | 2E | 45 | 45 | 1X |
| 340+ | 40 | 1X | 1X | 81 | 81 | 81 | E9 | 1X | 40 | 1X | E9 | 40 |
| 350+ | 40 | 40 | 81 | 92 | 1X | 40 | 40 | 92 | 92 | 56 | 56 | 92 |
| 360+ | 51 | 92 | 2E | 40 | 40 | 40 | 51 | 9 | 2E | X3 | X3 | X3 |
| 370+ | X3 | X3 | 51 | 26 | X3 | 26 | X3 | 26 | 26 | 67 | 67 | 26 |
| 380+ | 26 | X3 | X3 | 26 | 26 | 1X | 1X | 26 | 1X | 26 | 40 | 37 |
| 390+ | 37 | 37 | E4 | 15 | 37 | 26 | 26 | 78 | 78 | 78 | 37 | 15 |
| 3X0+ | E4 | 15 | 26 | 37 | 37 | 37 | 73 | 15 | 37 | 37 | 37 | 15 |
| 3E0+ | 15 | 51 | 51 | 89 | 48 | 89 | 26 | 89 | 89 | 37 | 37 | 21 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 400+ | 26 | 26 | 26 | 9X | 9X | 9X | 26 | 9X | 48 | 9X | 9X | 9X |
| 410+ | 9X | 48 | 48 | 21 | 62 | 62 | 62 | 21 | 21 | 9X | 9X | 15 |
| 420+ | 48 | 15 | 59 | 15 | 15 | 37 | 37 | 21 | XE | 32 | 32 | 32 |
| 430+ | 32 | 32 | 59 | 21 | XE | 21 | XE | 73 | 73 | 73 | XE | 32 |
| 440+ | 21 | XE | XE | 32 | 32 | 32 | 32 | 32 | 26 | 32 | 26 | 48 |
| 450+ | 48 | 48 | XE | 10 | 43 | 21 | 21 | 84 | 84 | 84 | 32 | 21 |
| 460+ | 100 | 21 | 84 | 21 | 21 | 100 | 100 | 95 | 43 | 43 | 43 | 95 |
| 470+ | 95 | 21 | 21 | 95 | 43 | 95 | 100 | 59 | 59 | 59 | 7E | 10 |
| 480+ | 54 | 95 | 95 | 43 | 43 | 43 | 54 | 10 | 54 | 10 | 32 | X6 |
| 490+ | X6 | X6 | 32 | 29 | X6 | X6 | X6 | 29 | 29 | X6 | X6 | 29 |
| 4X0+ | X6 | 29 | 54 | 6X | 6X | 6X | 122 | 18 | 29 | X6 | X6 | 29 |
| 4E0+ | 29 | 29 | 54 | 29 | 21 | 29 | 21 | 29 | 29 | 43 | 43 | 18 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 500+ | 3X | 3X | 3X | 18 | 18 | 3X | 3X | 7E | 29 | 7E | E7 | 7E |
| 510+ | 7E | 3X | 3X | 18 | E7 | 18 | 18 | 3X | 3X | 3X | 7E | 18 |
| 520+ | 76 | 18 | 3X | 3X | 3X | 3X | E7 | 90 | 18 | 54 | 54 | 90 |
| 530+ | 90 | 4E | 4E | 90 | 29 | 90 | 108 | 3X | 3X | 3X | 4E | 13 |
| 540+ | 29 | 29 | 29 | X1 | X1 | X1 | 108 | X1 | 29 | X1 | 4E | X1 |
| 550+ | X1 | X1 | X1 | 24 | X1 | 4E | 4E | 24 | 24 | 65 | 65 | 24 |
| 560+ | 65 | 24 | 87 | X1 | X1 | X1 | 60 | 24 | 4E | 18 | 18 | 18 |
| 570+ | 18 | 18 | 60 | 24 | 3X | 24 | E2 | 35 | 35 | 35 | E2 | 24 |
| 580+ | 35 | 35 | 35 | 24 | 24 | E2 | E2 | 76 | E2 | 76 | 35 | 76 |
| 590+ | 76 | E2 | E2 | 13 | 24 | E2 | E2 | 35 | 35 | 35 | 71 | 35 |
| 5X0+ | 35 | 35 | 35 | 35 | 35 | 29 | 29 | 13 | 4E | 4E | 4E | 13 |
| 5E0+ | 13 | 46 | 46 | 87 | 24 | 87 | 103 | 87 | 87 | 35 | 35 | 98 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 600+ | 103 | 24 | 24 | 24 | 24 | 24 | 12X | 98 | 103 | 98 | 24 | 46 |
| 610+ | 46 | 46 | 103 | 98 | 98 | 24 | 24 | 98 | 98 | 46 | 46 | 60 |
| 620+ | 103 | 60 | 3X | 60 | 60 | 82 | 82 | 1E | 57 | 98 | 98 | 46 |
| 630+ | 46 | 46 | 98 | 13 | 57 | 13 | 46 | 13 | 13 | 35 | 35 | 30 |
| 640+ | X9 | X9 | X9 | 30 | 30 | X9 | X9 | 30 | X9 | 30 | 57 | X9 |
| 650+ | X9 | X9 | 98 | 1E | X9 | 30 | 30 | 71 | 71 | 71 | X9 | 1E |
| 660+ | 125 | 1E | 71 | X9 | X9 | X9 | 30 | 30 | 30 | 30 | 30 | 30 |
| 670+ | 30 | 24 | 24 | 30 | 24 | 30 | 24 | 46 | 46 | 46 | X9 | 1E |
| 680+ | 41 | 41 | 41 | 1E | 1E | 1E | EX | 82 | 41 | 82 | 30 | 82 |
| 690+ | 82 | EX | EX | 1E | 82 | 41 | 41 | 1E | 1E | EX | EX | 41 |
| 6X0+ | 1E | 41 | 30 | 41 | 41 | 82 | 82 | 93 | 79 | 1E | 1E | 41 |
| 6E0+ | 41 | 41 | 41 | 93 | EX | 93 | 35 | 57 | 57 | 57 | 79 | 93 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 700+ | 93 | 52 | 52 | 93 | 93 | 30 | 30 | 41 | 10E | 41 | 52 | 41 |
| 710+ | 41 | 52 | 52 | X | 30 | 30 | 30 | X4 | X4 | X4 | 30 | X4 |
| 720+ | 10E | X4 | X4 | X4 | X4 | 52 | 52 | 27 | X4 | X4 | X4 | 27 |
| 730+ | 27 | X4 | X4 | 27 | 52 | 27 | 79 | 68 | 68 | 68 | 120 | 27 |
| 740+ | 68 | 27 | 27 | X4 | X4 | X4 | 63 | 27 | 63 | 27 | 52 | 1E |
| 750+ | 1E | 1E | 120 | 27 | 1E | 1E | 1E | 27 | 27 | 41 | 41 | 38 |
| 760+ | E5 | 38 | E5 | 38 | 38 | E5 | E5 | 16 | 38 | 38 | 38 | 27 |
| 770+ | 27 | 27 | 63 | 79 | E5 | 79 | 27 | 79 | 79 | 38 | 38 | 16 |
| 780+ | 79 | E5 | E5 | 16 | 16 | 27 | 27 | 38 | E5 | 38 | 79 | 38 |
| 790+ | 38 | 74 | 74 | 16 | 38 | 38 | 38 | 38 | 38 | 38 | E5 | 16 |
| 7X0+ | 30 | 16 | 30 | 52 | 52 | 52 | 52 | 8X | 16 | 49 | 49 | 8X |
| 7E0+ | 8X | 27 | 27 | 8X | 106 | 8X | 49 | 38 | 38 | 38 | 49 | 22 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 800+ | 106 | 27 | 27 | 27 | 27 | 27 | 49 | 9E | 131 | 9E | 106 | 9E |
| 810+ | 9E | 27 | 27 | 9E | 49 | 49 | 49 | 9E | 9E | 9E | 9E | 9E |
| 820+ | 27 | 9E | 49 | 49 | 49 | 49 | 74 | 22 | 106 | 63 | 63 | 63 |
| 830+ | 63 | 63 | 41 | 22 | 85 | 22 | 9E | 9E | 9E | 9E | 5X | 16 |
| 840+ | 49 | 49 | 49 | 16 | 16 | 5X | 5X | 16 | 49 | 16 | 5X | 38 |
| 850+ | 38 | 38 | 117 | 22 | E0 | E0 | E0 | 33 | 33 | 33 | E0 | 33 |
| 860+ | E0 | 33 | E0 | 33 | 33 | 5X | 5X | 22 | E0 | E0 | E0 | 22 |
| 870+ | 22 | E0 | E0 | 74 | 33 | 74 | 5X | 74 | 74 | E0 | E0 | 33 |
| 880+ | 128 | 22 | 22 | E0 | E0 | E0 | 74 | 33 | 33 | 33 | 6E | 33 |
| 890+ | 33 | 33 | 128 | 33 | 33 | 27 | 27 | 33 | 33 | 27 | 27 | 49 |
| 8X0+ | 27 | 49 | 6E | 49 | 49 | E0 | E0 | 11 | 44 | 44 | 44 | 22 |
| 8E0+ | 22 | 22 | 101 | 85 | 101 | 85 | 44 | 85 | 85 | 33 | 33 | 22 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 900+ | 85 | 101 | 101 | 22 | 22 | 85 | 85 | 22 | 44 | 22 | 128 | 101 |
| 910+ | 101 | 101 | 85 | 96 | 22 | 44 | 44 | 44 | 44 | 44 | 101 | 96 |
| 920+ | 85 | 96 | 44 | 22 | 22 | 22 | 44 | 96 | 44 | 44 | 44 | 96 |
| 930+ | 96 | 101 | 101 | 5X | 38 | 5X | 22 | 5X | 5X | 80 | 80 | 11 |
| 940+ | 96 | 55 | 55 | 96 | 96 | 96 | 112 | 44 | 33 | 44 | 96 | 44 |
| 950+ | 44 | 55 | 55 | 11 | 44 | 55 | 55 | 11 | 11 | 33 | 33 | X7 |
| 960+ | 33 | X7 | 96 | X7 | X7 | 33 | 33 | 2X | 112 | X7 | X7 | X7 |
| 970+ | X7 | X7 | 80 | 2X | 55 | 2X | 55 | X7 | X7 | X7 | 96 | 2X |
| 980+ | 2X | X7 | X7 | 2X | 2X | 55 | 55 | 6E | 80 | 6E | X7 | 6E |
| 990+ | 6E | 123 | 123 | 19 | 6E | 2X | 2X | X7 | X7 | X7 | 2X | 2X |
| 9X0+ | 66 | 2X | X7 | 2X | 2X | 55 | 55 | 2X | 22 | 22 | 22 | 2X |
| 9E0+ | 2X | 22 | 22 | 2X | 22 | 2X | 66 | 44 | 44 | 44 | X7 | 19 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| X00+ | E8 | 3E | 3E | 3E | 3E | 3E | 44 | 19 | E8 | 19 | E8 | 3E |
| X10+ | 3E | 3E | E8 | 80 | 2X | 2X | 2X | 80 | 80 | E8 | E8 | 80 |
| X20+ | 2X | 80 | E8 | 3E | 3E | 3E | 123 | 19 | 80 | E8 | E8 | 19 |
| X30+ | 19 | 19 | 80 | 3E | 2X | 3E | E8 | 3E | 3E | 80 | 80 | 19 |
| X40+ | 3E | 77 | 77 | 19 | 19 | 3E | 3E | 3E | 3E | 3E | 3E | 3E |
| X50+ | 3E | E8 | E8 | 91 | 33 | 19 | 19 | 55 | 55 | 55 | 77 | 91 |
| X60+ | 55 | 91 | E8 | 50 | 50 | 50 | 109 | 91 | 91 | 2X | 2X | 91 |
| X70+ | 91 | 109 | 109 | 3E | 50 | 3E | 50 | 3E | 3E | 50 | 50 | 14 |
| X80+ | 109 | 2X | 2X | 2X | 2X | 2X | 91 | X2 | 50 | X2 | 2X | X2 |
| X90+ | X2 | 109 | 109 | X2 | X2 | 2X | 2X | X2 | X2 | 50 | 50 | X2 |
| XX0+ | 50 | X2 | 109 | X2 | X2 | X2 | 50 | 25 | 2X | X2 | X2 | 50 |
| XE0+ | 50 | 50 | 50 | 25 | 77 | 25 | X2 | 66 | 66 | 66 | 11X | 25 |
| +1 | +2 | +3 | +4 | +5 | +6 | +7 | +8 | +9 | +X | +E | +10 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| E00+ | 66 | 66 | 66 | 25 | 25 | 88 | 88 | X2 | X2 | X2 | 61 | X2 |
| E10+ | X2 | 61 | 61 | 25 | 50 | 50 | 50 | 19 | 19 | 19 | 11X | 19 |
| E20+ | 61 | 19 | 19 | 19 | 19 | 61 | 61 | 25 | 3E | 3E | 3E | 25 |
| E30+ | 25 | E3 | E3 | 36 | E3 | 36 | 61 | 36 | 36 | E3 | E3 | 25 |
| E40+ | E3 | 36 | 36 | 36 | 36 | 36 | 88 | 25 | 61 | 25 | 61 | E3 |
| E50+ | E3 | E3 | E3 | 77 | 25 | E3 | E3 | 77 | 77 | 36 | 36 | 77 |
| E60+ | 61 | 77 | 36 | E3 | E3 | E3 | 61 | 14 | 12E | 25 | 25 | E3 |
| E70+ | E3 | E3 | 36 | 36 | 77 | 36 | E3 | 36 | 36 | 72 | 72 | 36 |
| E80+ | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 2X | 36 | E3 | 2X |
| E90+ | 2X | 2X | 12E | 14 | 2X | 50 | 50 | 50 | 50 | 50 | 50 | 14 |
| EX0+ | E3 | 14 | 104 | 47 | 47 | 47 | 104 | 88 | 25 | 25 | 25 | 88 |
| EE0+ | 88 | 104 | 104 | 88 | 47 | 88 | 47 | 36 | 36 | 36 | 47 | 99 |
Numbers with a total stopping time longer than that of any smaller starting value form a sequence[]
1, 2, 3, 6, 7, 9, 16, 21, 23, 46, 61, 81, X9, 123, 173, 221, 233, 461, 4X7, 607, 809, 1353, 1513, 1833, 2193, 36X3, 6423, 7807, X267, 11749, 134X7, 17993, 18773, 26493, 386E3, 51593, 6X623, 76453, X5267, E1573, 179337, 208313, 262563, 344X07, 45X549, 604X09, 6E14X7, 929X61, ...
The record numbers of steps are
0, 1, 7, 8, 14, 17, 18, 1E, 93, 94, 97, 9X, X1, X4, X7, XX, EE, 100, 122, 12X, 131, 132, 154, 160, 179, 199, 1X3, 1XE, 1E2, 1E5, 217, 21X, 22E, 243, 252, 255, 272, 27X, 281, 30X, 314, 331, 364, 378, 37E, 382, 3X4, 3X7, ...
The starting values whose maximum trajectory point is greater than that of any smaller starting value[]
1, 2, 3, 7, 13, 23, 193, 313, 453, 4X7, 1077, 2567, 27X7, 5713, 10113, 134X7, 16573, 2E353, 38E47, 55747, 680X7, 78367, 1104X7, 280E67, 29E853, 423313, 4X5767, 596193, 765593, 7EXE63, X75753, X95747, ...
The record maximum trajectory points are
1, 2, 14, 44, 114, 5414, 7714, 1X944, 20044, 100E74, 516E74, 2345074, 2892644, 90E7274, 14962114, 2E751944, 3463X714, 146830X14, 37X096114, 593307044, 6611X0114, 340105E874, 493X711E74, X208667714, E0663EX714, 155X4XE1714, 230934XE974, 25478530344, 26270074714, 264E2383X14, 30XE4736444, 5840XEXX414, ...
Record indices of 2^h(n)/(3^t(n)*n), where h and t are the number of halving resp. tripling steps[]
1, 3, 7, 9, 361, 3X7, 521, 6X9, ...
The record 2^h(n)/(3^t(n)*n) are
1/1, 28/23, 1228/E99, 48X8/3969, 2E6228532628/245315132809, 942E588E3E625768/757856618E2593E3, 314E9XXE93X09X628/25X4X909601332483, 1057E377E1343360X8/9E5198E4916510969, ...
The values of these fractions are
res(1) = 1
res(3) = 1.228
res(7) = 1.25461186X35186X35186X352...
res(9) = 1.2E969228
res(361) = 1.2EX0405XX304002E15711713...
res(3X7) = 1.3038999EEE98E13103522E67...
res(521) = 1.304852898EX3X562EX580X69...
res(6X9) = 1.30551X486XE54270E8010045...
The longest progression for start values less than or equal to given value[]
| up to | start value | steps |
|---|---|---|
| 101 | 9 | 17 |
| 102 | X9 | X1 |
| 103 | 809 | 131 |
| 104 | X267 | 1E2 |
| 105 | E1573 | 30X |
| 106 | 929X61 | 3X7 |
| 107 | X 655866 | 4X9 |
| 108 | 75 E2X923 | 684 |
| 109 | E45 917493 | 7X3 |
| 10X | 6186 59X763 | 857 |
| 10E | XX7E4 X87437 | 930 |
| 1010 | X74822 6933X7 | XX3 |
| 1011 | E 3739XE 519X07 | 1078 |
| 1012 | E8 E37618 220001 | 10E5 |
| 1013 | 9E4 289132 4E76X7 | 121E |
| 1014 | 6985 1X236X 326E53 | 137X |
The record maximum values for start values less than or equal to given value[]
| up to | start value | maximum value |
|---|---|---|
| 101 | 7 | 44 |
| 102 | 23 | 5414 |
| 103 | 4X7 | 100E74 |
| 104 | 5713 | 9 0E7274 |
| 105 | 78367 | 3401 05E874 |
| 106 | X95747 | 5840X EXX414 |
| 107 | 6 6E0993 | 2X 42X490 620574 |
| 108 | 8E 1282X7 | 77960 04200X 1E8414 |
| 109 | 334 2E7E47 | 326613 530528 866E14 |
| 10X | E629 05EX13 | 7 889501 2486E9 61XE74 |
| 10E | 92074 507747 | 2228 487424 545234 301644 |
| 1010 | 50034E 813033 | 2 747X31 187418 559E09 377E74 |
| 1011 | 7 33402E 156623 | 14 03XX88 X456X3 666951 8E4414 |
| 1012 | E8 80X4EE 1392E3 | 22660 44E25X 459754 1116E1 851714 |
| 1013 | 841 241E9X 992173 | 1 588185 954577 111389 5808X4 227944 |
| 1014 | E248 135194 443033 | 15 X19734 8X71X1 356341 928190 221874 |
Question: Does all record maximum values (>4) end with 14, 44, or 74?