A258849 The n-th pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 0, 4, 4, 12288, 81920, 0, 0, 278380544, 4, 4931584, 278380544, 14768867966976, 4, 128412352512, 14768867966976, 375877192068366336, 14768867966976, 14768867966976, 375877192068366336

Offset

0,5

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = A258851^n(n) = A258850(n,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$2):
seq(a(n), n=0..23);

Crossrefs

Main diagonal of A258850.

Cf. A000720, A258851.

Sequence in context: A258856 A258857 A258858 * A258859 A258860 A134944

Adjacent sequences: A258846 A258847 A258848 * A258850 A258851 A258852

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved