A061941 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 12 (most significant digit on right).

1, 2, 3, 4, 6, 11, 58, 77, 143, 209, 1009, 1280, 6555, 7564, 12793, 52162, 59147, 75801, 85460, 127710, 205439, 589003, 856075

Offset

1,2

Comments

This sequence differs from A029505 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..23.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 12; 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=12) = 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: A352819 A016038 A003099 * A029505 A185092 A218337

Adjacent sequences: A061938 A061939 A061940 * A061942 A061943 A061944

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(23) from Lars Blomberg, Oct 20 2011

Status

approved