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

1,3

Links

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

Mathematica

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

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).

Sequence in context: A166461 A275772 A071242 * A378560 A044959 A353181

Adjacent sequences: A385295 A385296 A385297 * A385299 A385300 A385301

Keyword

nonn,base,look

Author

Stefano Spezia, Jun 24 2025

Status

approved