cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A258858 Eighth pi-based arithmetic derivative of n.

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%I A258858 #4 Jun 12 2015 20:46:43
%S A258858 0,0,0,0,4,0,4,4,12288,12288,0,0,81920,4,208,512,622592,4,512,2304,
%T A258858 622592,208,80,2304,52056,2304,512,1050624,114752,0,12288,0,4931584,
%U A258858 2304,0,4,11900,12288,4,114752,11900,4,32,80,423168,9936,4,208,3679488,3084
%N A258858 Eighth pi-based arithmetic derivative of n.
%H A258858 Alois P. Heinz, <a href="/A258858/b258858.txt">Table of n, a(n) for n = 0..10000</a>
%F A258858 a(n) = A258851^8(n).
%p A258858 with(numtheory):
%p A258858 d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
%p A258858 A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:
%p A258858 a:= n-> A(n, 8):
%p A258858 seq(a(n), n=0..100);
%Y A258858 Column k=8 of A258850.
%Y A258858 Cf. A000720, A258851.
%K A258858 nonn
%O A258858 0,5
%A A258858 _Alois P. Heinz_, Jun 12 2015