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J.-M. De Koninck and N. Doyon call a number q-esthetic if the difference between adjacent digits is 1 when the number is written in base q.

The first 10-Esthetic numbers (starting from 10) are: 10, 12, 21, 23, 32, 34, 43, 45, 54, 56, 65, 67, 76, 78, 87, 89, 98, 9X, X9, XE, EX, 101, 121, 123, 210, 212, 232, 234, 321, 323, 343, 345, 432, 434, 454, 456, 543, 545, 565, 567, 654, 656, 676, 678, 765, 767, 787, 789, 876, 878, 898, 89X, 987, 989, 9X9, 9XE, X98, X9X, XEX, EX9, EXE... 

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