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A061934 Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 5 (most significant digit on right). 1

%I #23 Dec 05 2020 10:41:47

%S 1,16,19,207,350376,723792,853456,1894016

%N Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 5 (most significant digit on right).

%C This sequence differs from A029498 in that all least significant zeros are removed before concatenation.

%C No more terms < 10^7. - _Lars Blomberg_, Oct 17 2011

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

%e See A061931 for example.

%t cat = 0; k = 1; lst = {}; While[k < 100000, c = FromDigits@ Reverse@ IntegerDigits[k, 5]; cat = cat*10^Floor[ Log10[c] + 1] + c; If[ Mod[ FromDigits[ IntegerDigits@ cat, 5], k] == 0, AppendTo[lst, k]; Print[k]]; k++]; lst (* _Robert G. Wilson v_, Oct 17 2011 *)

%t b = 5; c = {}; Select[Range[10^4], Divisible[FromDigits[

%t c = Join[c, IntegerDigits[IntegerReverse[#, b], b]], b], #] &] (* _Robert Price_, Mar 07 2020 *)

%o (PARI) lista(nn, m=5) = my(s, t); for(k=1, nn, s=k/m^valuation(k, m); while(s, t=t*m+s%m; s\=m); if(t%k==0, print1(k, ", "))); \\ _Jinyuan Wang_, Dec 05 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(6)-a(8) from _Lars Blomberg_, Oct 17 2011

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)