A258856 Sixth pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 0, 4, 4, 512, 512, 0, 0, 2304, 4, 32, 80, 12288, 4, 80, 208, 12288, 32, 16, 208, 4104, 208, 80, 20736, 9536, 1, 512, 0, 81920, 208, 1, 4, 1116, 512, 4, 9536, 1116, 4, 53, 20, 30848, 944, 4, 32, 137984, 764, 80, 156, 16092, 2304, 138240, 332, 936

Offset

0,5

Links

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

Formula

a(n) = A258851^6(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, 6):
seq(a(n), n=0..100);

Crossrefs

Column k=6 of A258850.

Cf. A000720, A258851.

Sequence in context: A021716 A258854 A258855 * A258857 A258858 A258849

Adjacent sequences: A258853 A258854 A258855 * A258857 A258858 A258859

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved