A061943 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 14 (most significant digit on right).

1, 2, 6, 7, 10, 13, 39, 45, 65, 131, 195, 1690, 2005, 2106, 3211, 11615, 18498, 20881, 22360, 36335, 104858, 234506, 665223, 1274944, 1328487, 1425268, 2305498

Offset

1,2

Comments

This sequence differs from A029507 in that all least significant zeros are removed before concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 22 2011

Links

Table of n, a(n) for n=1..27.

Index entries for related sequences

Example

See A061931 for example.

Mathematica

b = 14; 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=14) = 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: A029459 A014862 A180626 * A029507 A047552 A287453

Adjacent sequences: A061940 A061941 A061942 * A061944 A061945 A061946

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

Status

approved