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.

A258859 Ninth pi-based arithmetic derivative of n.

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%I A258859 #4 Jun 12 2015 20:47:10
%S A258859 0,0,0,0,4,0,4,4,81920,81920,0,0,622592,4,512,2304,4931584,4,2304,
%T A258859 12288,4931584,512,208,12288,193644,12288,2304,8322048,423168,0,81920,
%U A258859 0,38944768,12288,0,4,37880,81920,4,423168,37880,4,80,208,2298880,43632,4,512
%N A258859 Ninth pi-based arithmetic derivative of n.
%H A258859 Alois P. Heinz, <a href="/A258859/b258859.txt">Table of n, a(n) for n = 0..10000</a>
%F A258859 a(n) = A258851^9(n).
%p A258859 with(numtheory):
%p A258859 d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
%p A258859 A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:
%p A258859 a:= n-> A(n, 9):
%p A258859 seq(a(n), n=0..100);
%Y A258859 Column k=9 of A258850.
%Y A258859 Cf. A000720, A258851.
%K A258859 nonn
%O A258859 0,5
%A A258859 _Alois P. Heinz_, Jun 12 2015