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

1,2

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

Links

Table of n, a(n) for n=1..14.

Index entries for related sequences

Example

See A029495 for example.

Mathematica

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

Prog

(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

Crossrefs

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

Sequence in context: A198320 A035533 A278303 * A037792 A037673 A037799

Adjacent sequences: A029499 A029500 A029501 * A029503 A029504 A029505

Keyword

nonn,base,more

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

Status

approved