A258648 Eighth arithmetic derivative of n.

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, 368, 27, 8592, 0, 0, 0, 20096, 0, 0, 1520, 8976, 0, 0, 3424, 2176, 0, 0, 0, 16304, 1520, 0, 0, 32624, 0, 752, 1552, 8976, 0, 10260, 3424, 22288, 0, 0, 0, 22288, 0, 0

Offset

0,5

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Formula

a(n) = A003415^8(n).

Maple

d:= n-> n*add(i[2]/i[1], i=ifactors(n)[2]):
A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:
a:= n-> A(n, 8):
seq(a(n), n=0..70);

Crossrefs

Column k=8 of A258651.

Cf. A003415.

Sequence in context: A258646 A258647 A013334 * A185232 A258649 A258650

Adjacent sequences: A258645 A258646 A258647 * A258649 A258650 A258651

Keyword

nonn

Author

Alois P. Heinz, Jun 06 2015

Status

approved