A029518 Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 25 (most significant digit on right).

1, 3, 5, 9, 15, 21, 39, 83, 96, 288, 303, 864, 1824, 2421, 2496, 2592, 2817, 3328, 6299, 9440, 13632, 18592, 26049, 64857, 69696, 71904, 79872, 94848, 120384, 258111, 287232, 319319, 476736, 524992, 706368, 904281, 1817583, 2003520, 3156192, 4479904, 7460741

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base

Comments

This sequence differs from A061954 in that all least significant zeros are kept during concatenation.

Examples

			See A029495 for example.
		

Links

• Lars Blomberg, Table of n, a(n) for n = 1..42
• Index entries for related sequences

Crossrefs

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

Programs

Mathematica

b = 25; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

PARI

lista(nn, m=25) = my(s, t); for(k=1, nn, s=k; while(s, t=t*m+s%m; s\=m); if(t%k==0, print1(k, ", "))); \\ Jinyuan Wang, Dec 05 2020

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 25 2001

Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

a(33) and beyond from Lars Blomberg, Oct 14 2011