A029515 Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 22 (most significant digit on right).

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 35, 75, 97, 102, 105, 175, 196, 291, 343, 375, 455, 485, 1176, 2070, 2151, 3375, 4968, 11375, 17059, 21826, 22326, 28856, 30079, 41265, 47285, 49605, 49966, 67648, 92806, 115074, 143493, 179654, 963874, 1525498, 1527890

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base

Comments

This sequence differs from A061951 in that all least significant zeros are kept during concatenation.

The next term is > 1460000. - Larry Reeves, Jan 16 2002

Examples

			See A029495 for example.
		

Links

• Lars Blomberg, Table of n, a(n) for n = 1..48
• Index entries for related sequences

Crossrefs

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

Programs

Mathematica

b = 22; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

PARI

lista(nn, m=22) = 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), Jun 01 2001

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