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Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).
1

%I #15 Mar 08 2020 20:55:02

%S 1,3,9,27,29,36,39,53,72,108,180,189,360,900,1008,1885,1899,2877,3120,

%T 4272,6975,14319,16203,18724,19959,24777,30071,38376,84748,85053,

%U 90843,108412,121996,155556,327321,366128,545949,727236,1332360,1847072,3090195,3229872

%N Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).

%C This sequence differs from A029512 in that all least significant zeros are removed before concatenation.

%C No more terms < 10^7. [_Lars Blomberg_, Oct 23 2011]

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

%e See A061931 for example.

%t b = 19; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* _Robert Price_, Mar 08 2020 *)

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

%K nonn,base

%O 1,2

%A Larry Reeves (larryr(AT)acm.org), May 24 2001

%E Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002; Aug 25, 2002

%E a(40)-a(42) from _Lars Blomberg_, Oct 23 2011