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A029509 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 16 (most significant digit on right). 1

%I #19 Mar 13 2020 10:38:04

%S 1,2,3,4,5,6,8,9,10,12,15,25,45,163,234,661,1034,1191,1415,1835,2094,

%T 3143,3284,3459,3638,3915,5215,16620,18505,18790,31965,36600,140835,

%U 175302,187170,190545,283115,6926085,7607655

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

%C This sequence differs from A061945 in that all least significant zeros are kept during concatenation.

%C No more terms < 10^7. [_Lars Blomberg_, Oct 09 2011]

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

%e See A029495 for example.

%t b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[c, Reverse[IntegerDigits[#, b]]], 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 and more terms from Larry Reeves (larryr(AT)acm.org), May 25 2001

%E a(38)-a(39) from _Lars Blomberg_, Oct 09 2011

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Last modified May 23 00:00 EDT 2024. Contains 372758 sequences. (Running on oeis4.)