A029492 - OEIS

A029492

Numbers k that divide the (left) concatenation of all numbers <= k written in base 23 (most significant digit on left).

%I #25 Jun 30 2024 03:18:06

%S 1,11,27,33,48,93,99,121,144,176,297,304,363,432,461,528,583,1936,

%T 2267,2915,5808,12031,22496,26983,31328,33913,63861,81312,93984,

%U 105888,108803,143264,477103,1287968,3511904,3620768,7292912,31740567,62025997,63469123

%N Numbers k that divide the (left) concatenation of all numbers <= k written in base 23 (most significant digit on left).

%C a(54) > 3*10^10. - _Jason Yuen_, Jun 30 2024

%H Jason Yuen, <a href="/A029492/b029492.txt">Table of n, a(n) for n = 1..53</a>

%H <a href="/index/N#concat">Index entries for related sequences</a>

%t b = 23; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[#, b], c], b], #] &] (* _Robert Price_, Mar 12 2020 *)

%Y Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

%K nonn,base

%O 1,2

%A _Olivier Gérard_

%E More terms from Andrew Gacek (andrew(AT)dgi.net), Feb 21 2000

%E More terms from Larry Reeves (larryr(AT)acm.org), May 24 2001

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

%E a(34)-a(40) from _Max Alekseyev_, May 15 2011