A258858 Eighth pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 0, 4, 4, 12288, 12288, 0, 0, 81920, 4, 208, 512, 622592, 4, 512, 2304, 622592, 208, 80, 2304, 52056, 2304, 512, 1050624, 114752, 0, 12288, 0, 4931584, 2304, 0, 4, 11900, 12288, 4, 114752, 11900, 4, 32, 80, 423168, 9936, 4, 208, 3679488, 3084

Offset

0,5

Links

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

Formula

a(n) = A258851^8(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, 8):
seq(a(n), n=0..100);

Crossrefs

Column k=8 of A258850.

Cf. A000720, A258851.

Sequence in context: A258855 A258856 A258857 * A258849 A258859 A258860

Adjacent sequences: A258855 A258856 A258857 * A258859 A258860 A258861

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved