A061942 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 13 (most significant digit on right).

1, 3, 9, 16, 27, 33, 48, 81, 144, 320, 880, 1041, 2304, 2645, 8189, 15368, 29040, 77864, 80192, 95568, 551520, 783408, 1973640, 2162592, 2352811, 2433557, 7598977

Offset

1,2

Comments

This sequence differs from A029506 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..27.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 13; 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=13) = 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: A354258 A024385 A212566 * A174440 A244475 A212870

Adjacent sequences: A061939 A061940 A061941 * A061943 A061944 A061945

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; Aug 25 2002

a(22)-a(27) from Lars Blomberg, Oct 20 2011

Status

approved