A029502 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 9 (most significant digit on right).

1, 3, 32, 320, 544, 2048, 3331, 5833, 32281, 125120, 145760, 317621, 889760, 7371043

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base
• more

Comments

This sequence differs from A061938 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 04 2011

Examples

			See A029495 for example.
		

Links

• Index entries for related sequences

Crossrefs

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

Programs

Mathematica

b = 9; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 12 2020 *)

PARI

lista(nn, m=9) = 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

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(13)-a(14) from Lars Blomberg, Oct 04 2011