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

1,2

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

Links

Table of n, a(n) for n=1..13.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 9; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* Robert Price, Mar 08 2020 *)

Prog

(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

Crossrefs

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

Sequence in context: A301926 A211800 A218922 * A168375 A032586 A147137

Adjacent sequences: A061935 A061936 A061937 * A061939 A061940 A061941

Keyword

nonn,base,more

Author

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

Extensions

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

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

Status

approved