A061938 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 9 (most significant digit on right).

1, 3, 13, 32, 179, 4543, 5585, 11248, 16775, 29600, 56560, 444473, 4158800

Offset: 1

Author

Larry Reeves (larryr(AT)acm.org), May 24 2001

Keywords

• nonn
• base
• more

Comments

This sequence differs from A029502 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 20 2011

Examples

			See A061931 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, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

PARI

lista(nn, m=9) = my(s, t); for(k=1, nn, s=k/m^valuation(k, m); 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

a(12)-a(13) from Lars Blomberg, Oct 20 2011