A258855 Fifth pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 0, 4, 4, 208, 208, 1, 0, 512, 4, 20, 32, 2304, 4, 32, 80, 2304, 16, 53, 80, 1188, 80, 32, 3888, 2432, 2, 208, 1, 12288, 80, 2, 4, 916, 208, 7, 2432, 916, 4, 30, 12, 9536, 476, 4, 20, 32512, 424, 32, 116, 4104, 512, 20736, 156, 764, 80, 332, 4

Offset

0,5

Links

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

Formula

a(n) = A258851^5(n).

Maple

with(numtheory):
d:= n-> n*add(i[2]*pi(i[1])/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..100);

Crossrefs

Column k=5 of A258850.

Cf. A000720, A258851.

Sequence in context: A278086 A021716 A258854 * A258856 A258857 A258858

Adjacent sequences: A258852 A258853 A258854 * A258856 A258857 A258858

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved