A029506 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 13 (most significant digit on right).

1, 3, 9, 15, 21, 25, 35, 47, 48, 87, 240, 320, 672, 896, 1760, 2592, 2688, 3659, 5152, 15456, 16800, 53200, 60288, 75360, 92605, 92736, 121600, 189648, 204176, 334827, 382368, 401472, 443919, 1070720, 1836855, 2010432, 4384128, 5566077

Offset

1,2

Comments

This sequence differs from A061942 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 07 2011

Links

Table of n, a(n) for n=1..38.

Index entries for related sequences

Example

See A029495 for example.

Mathematica

b = 13; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 12 2020 *)

Prog

(PARI) lista(nn, m=13) = 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: A162488 A324298 A194041 * A299790 A030594 A032676

Adjacent sequences: A029503 A029504 A029505 * A029507 A029508 A029509

Keyword

nonn,base

Author

Olivier Gérard

Extensions

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

Additional comments and more terms from Larry Reeves (larryr(AT)acm.org), May 25 2001

a(33)-a(38) from Lars Blomberg, Oct 07 2011

Status

approved