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

1,2

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

Links

Lars Blomberg, Table of n, a(n) for n = 1..48

Index entries for related sequences

Example

See A029495 for example.

Mathematica

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

Prog

(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

Crossrefs

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

Sequence in context: A190199 A014873 A029467 * A061951 A377994 A346301

Adjacent sequences: A029512 A029513 A029514 * A029516 A029517 A029518

Keyword

nonn,base

Author

Olivier Gérard

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

Status

approved