A258848 The n-th pi-based arithmetic derivative of 2^3.

8, 12, 20, 32, 80, 208, 512, 2304, 12288, 81920, 622592, 4931584, 38944768, 278380544, 2122727424, 17483677696, 128412352512, 1348723408896, 14768867966976, 188484960780288, 2416519442792448, 30543291749302272, 375877192068366336, 6101345960934506496

Offset: 0

Author

Alois P. Heinz, Jun 12 2015

Keywords

• nonn

Crossrefs

Row n=8 of A258850.

Cf. A000720, A258851, A259169.

Programs

Maple

with(numtheory):
d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
a:= proc(n) option remember; `if`(n=0, 2^3, d(a(n-1))) end:
seq(a(n), n=0..23);

Formula

a(n) = A258851^n(2^3).