A258857 Seventh pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 0, 4, 4, 2304, 2304, 0, 0, 12288, 4, 80, 208, 81920, 4, 208, 512, 81920, 80, 32, 512, 16092, 512, 208, 138240, 30848, 0, 2304, 0, 622592, 512, 0, 4, 3000, 2304, 4, 30848, 3000, 4, 16, 32, 114752, 2160, 4, 80, 772352, 936, 208, 332, 52056, 12288

Offset

0,5

Links

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

Formula

a(n) = A258851^7(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, 7):
seq(a(n), n=0..100);

Crossrefs

Column k=7 of A258850.

Cf. A000720, A258851.

Sequence in context: A258854 A258855 A258856 * A258858 A258849 A258859

Adjacent sequences: A258854 A258855 A258856 * A258858 A258859 A258860

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved