A258645 Fifth arithmetic derivative of n.

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, 752, 0, 0, 0, 1520, 1, 0, 176, 560, 0, 0, 368, 284, 0, 0, 0, 1552, 176, 0, 0, 3120, 1, 80, 112, 560, 0, 1188, 368, 1312, 0, 0, 0, 1312, 0, 5, 48, 36864, 1, 0, 0

Offset

0,5

Links

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

Formula

a(n) = A003415^5(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, 5):
seq(a(n), n=0..70);

Crossrefs

Column k=5 of A258651.

Cf. A003415.

Sequence in context: A169770 A287633 A222931 * A222953 A101193 A258646

Adjacent sequences: A258642 A258643 A258644 * A258646 A258647 A258648

Keyword

nonn

Author

Alois P. Heinz, Jun 06 2015

Status

approved