A061944 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 15 (most significant digit on right).

1, 3, 5, 7, 28, 48, 143, 148, 224, 392, 2079, 2716, 2999, 12537, 14392, 16384, 32124, 52073, 56747, 138203, 238847, 527989, 4580376, 5147667, 5276712, 6982808, 8947484

Offset

1,2

Comments

This sequence differs from A029508 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 = 15; 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=15) = 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: A126668 A083518 A352106 * A288924 A093574 A076846

Adjacent sequences: A061941 A061942 A061943 * A061945 A061946 A061947

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

Status

approved