%I #4 Jun 07 2015 07:24:13
%S 0,0,0,0,4,0,0,0,176,0,0,0,368,0,0,80,752,0,0,0,240,0,0,0,608,0,32,27,
%T 752,0,0,0,1520,1,0,176,560,0,0,368,284,0,0,0,1552,176,0,0,3120,1,80,
%U 112,560,0,1188,368,1312,0,0,0,1312,0,5,48,36864,1,0,0
%N Fifth arithmetic derivative of n.
%H Alois P. Heinz, <a href="/A258645/b258645.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) = A003415^5(n).
%p d:= n-> n*add(i[2]/i[1], i=ifactors(n)[2]):
%p A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:
%p a:= n-> A(n, 5):
%p seq(a(n), n=0..70);
%Y Column k=5 of A258651.
%Y Cf. A003415.
%K nonn
%O 0,5
%A _Alois P. Heinz_, Jun 06 2015
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