login
Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 6 (most significant digit on right).
1

%I #23 Jul 26 2021 01:46:05

%S 1,5,19,35,55,85,505,12047,113935,1107173

%N Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 6 (most significant digit on right).

%C This sequence differs from A061959 in that all least significant zeros are removed before concatenation.

%C No more terms < 10^7. [_Lars Blomberg_, Sep 05 2011]

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

%e See A029519 for example.

%t b = 6; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[IntegerReverse[#, b], b], c], b], #] &] (* _Robert Price_, Mar 13 2020 *)

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

%K nonn,base

%O 1,2

%A _Olivier GĂ©rard_

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

%E Additional comments from Larry Reeves (larryr(AT)acm.org), May 25 2001

%E a(8)-a(9) from Larry Reeves (larryr(AT)acm.org), Jun 11 2001

%E a(10) from _Lars Blomberg_, Sep 05 2011