A258853 Third pi-based arithmetic derivative of n.

0, 0, 0, 0, 4, 1, 4, 4, 32, 32, 3, 2, 80, 4, 8, 12, 208, 4, 12, 20, 208, 30, 25, 20, 108, 16, 53, 351, 192, 5, 32, 3, 512, 20, 5, 6, 248, 32, 13, 192, 248, 7, 26, 19, 704, 172, 6, 8, 1600, 156, 71, 49, 324, 80, 864, 56, 332, 16, 116, 4, 536, 37, 32, 424, 2432

Offset

0,5

Links

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

Formula

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

a(A258995(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, 3):
seq(a(n), n=0..100);

Crossrefs

Column k=3 of A258850.

Cf. A000720, A258851, A258995.

Sequence in context: A347264 A328147 A151783 * A275791 A093561 A286327

Adjacent sequences: A258850 A258851 A258852 * A258854 A258855 A258856

Keyword

nonn,look

Author

Alois P. Heinz, Jun 12 2015

Status

approved