A385297 Numbers whose digits all belong to the same residue class mod 8.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 19, 22, 33, 44, 55, 66, 77, 80, 88, 91, 99, 111, 119, 191, 199, 222, 333, 444, 555, 666, 777, 800, 808, 880, 888, 911, 919, 991, 999, 1111, 1119, 1191, 1199, 1911, 1919, 1991, 1999, 2222, 3333, 4444, 5555, 6666, 7777, 8000, 8008, 8080, 8088, 8800, 8808, 8880, 8888

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..12358 (first 1000 terms from Stefano Spezia)

Mathematica

Select[Range[0, 9000], Length[DeleteDuplicates[Mod[IntegerDigits[#], 8]]] == 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), this sequence (k=8), A385298 (k=9).

Sequence in context: A330969 A033074 A067451 * A344749 A247753 A267771

Adjacent sequences: A385294 A385295 A385296 * A385298 A385299 A385300

Keyword

nonn,base,look

Author

Stefano Spezia, Jun 24 2025

Status

approved