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A029533 Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 16 (most significant digit on right). 1

%I #22 Jul 26 2021 01:47:14

%S 1,3,5,9,15,19,21,43,57,255,345,385,505,1131,1395,1585,7205,11565,

%T 38949,270425,684555,8311925

%N Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 16 (most significant digit on right).

%C This sequence differs from A061969 in that all least significant zeros are removed before concatenation.

%C No more terms < 10^7. [_Lars Blomberg_, Sep 20 2011]

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

%e See A029519 for example.

%t b = 16; 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,more

%O 1,2

%A _Olivier GĂ©rard_

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

%E Additional comments and more terms from Larry Reeves (larryr(AT)acm.org), Jun 04 2001

%E a(21)-a(22) from _Lars Blomberg_, Sep 20 2011

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)