A029508 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 15 (most significant digit on right).

1, 3, 5, 7, 32, 77, 93, 96, 160, 224, 352, 889, 941, 2275, 3421, 10368, 23744, 31104, 40832, 168111, 303296, 3496928, 6149591, 8275552, 8333395, 9774432

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base
• more

Comments

This sequence differs from A061944 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 08 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 = 15; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

PARI

lista(nn, m=15) = 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), Jun 01 2001

a(22)-a(26) from Lars Blomberg, Oct 08 2011