A061967 - OEIS

A061967

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

%I #16 Mar 09 2020 14:38:41

%S 1,13,23,29,39,41,57,1027,4093,6151,14053,19717,23621,24439,45919,

%T 56947,66601,1374929

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

%C This sequence differs from A029531 in that all least significant zeros are kept during concatenation.

%C No more terms < 10^7. [_Lars Blomberg_, Aug 12 2011]

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

%e See A061955 for example.

%t b = 14; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[Reverse[IntegerDigits[#, b]], c], b], #] &] (* _Robert Price_, Mar 09 2020 *)

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

%K nonn,base,more

%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

%E a(18) from _Lars Blomberg_, Aug 12 2011