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A258648 Eighth arithmetic derivative of n. 3

%I #4 Jun 07 2015 07:31:37

%S 0,0,0,0,4,0,0,0,1520,0,0,0,3424,0,0,752,8592,0,0,0,3120,0,0,0,8144,0,

%T 368,27,8592,0,0,0,20096,0,0,1520,8976,0,0,3424,2176,0,0,0,16304,1520,

%U 0,0,32624,0,752,1552,8976,0,10260,3424,22288,0,0,0,22288,0,0

%N Eighth arithmetic derivative of n.

%H Alois P. Heinz, <a href="/A258648/b258648.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A003415^8(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, 8):

%p seq(a(n), n=0..70);

%Y Column k=8 of A258651.

%Y Cf. A003415.

%K nonn

%O 0,5

%A _Alois P. Heinz_, Jun 06 2015

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