A385298 Numbers whose digits all belong to the same residue class mod 9.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 90, 99, 111, 222, 333, 444, 555, 666, 777, 888, 900, 909, 990, 999, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9000, 9009, 9090, 9099, 9900, 9909, 9990, 9999, 11111, 22222, 33333, 44444, 55555, 66666, 77777, 88888, 90000, 90009

Offset: 1

Author

Stefano Spezia, Jun 24 2025

Keywords

• nonn
• base
• look

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..16496 (first 200 terms from Stefano Spezia)

Crossrefs

Similar sequences for other values of the modulo k: A059708 (k=2), A385292 (k=3), A385293 (k=4), A385294 (k=5), A385295 (k=6), A385296 (k=7), A385297 (k=8), this sequence (k=9).

Programs

Mathematica

Select[Range[0,90000],Length[DeleteDuplicates[Mod[IntegerDigits[#],9]]] == 1 &]