A029508 - OEIS

A029508

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, 32, 77, 93, 96, 160, 224, 352, 889, 941, 2275, 3421, 10368, 23744, 31104, 40832, 168111, 303296, 3496928, 6149591, 8275552, 8333395, 9774432

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This sequence differs from A061944 in that all least significant zeros are kept during concatenation.

No more terms < 10^7. - Lars Blomberg, Oct 08 2011

LINKS

Table of n, a(n) for n=1..26.

Index entries for related sequences

EXAMPLE

See A029495 for example.

MATHEMATICA

b = 15; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], b], #] &] (* Robert Price, Mar 13 2020 *)

PROG

(PARI) lista(nn, m=15) = my(s, t); for(k=1, nn, s=k; 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: A359044 A002396 A302099 * A256935 A095714 A137864

Adjacent sequences: A029505 A029506 A029507 * A029509 A029510 A029511

KEYWORD

nonn,base,more

AUTHOR

Olivier Gérard

EXTENSIONS

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

Additional comments and more terms from Larry Reeves (larryr(AT)acm.org), Jun 01 2001

a(22)-a(26) from Lars Blomberg, Oct 08 2011

STATUS

approved