A385296 Numbers whose digits all belong to the same residue class mod 7.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 18, 22, 29, 33, 44, 55, 66, 70, 77, 81, 88, 92, 99, 111, 118, 181, 188, 222, 229, 292, 299, 333, 444, 555, 666, 700, 707, 770, 777, 811, 818, 881, 888, 922, 929, 992, 999, 1111, 1118, 1181, 1188, 1811, 1818, 1881, 1888, 2222, 2229, 2292, 2299, 2922, 2929, 2992, 2999

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10280 (first 1000 terms from Stefano Spezia)

Mathematica

Select[Range[0, 3000], Length[DeleteDuplicates[Mod[IntegerDigits[#], 7]]] == 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), this sequence (k=7), A385297 (k=8), A385298 (k=9).

Sequence in context: A385295 A147591 A271954 * A330969 A033074 A067451

Adjacent sequences: A385293 A385294 A385295 * A385297 A385298 A385299

Keyword

nonn,base,look

Author

Stefano Spezia, Jun 24 2025

Status

approved