A258863 First differences of the pi-based arithmetic derivative sequence A258851.

0, 1, 1, 2, -1, 4, -3, 8, 0, -1, -6, 15, -14, 9, 4, 13, -25, 26, -25, 24, -6, -5, -12, 43, -22, -5, 29, -10, -34, 43, -42, 69, -43, -6, 10, 43, -72, 23, 9, 40, -71, 60, -59, 50, 23, -46, -26, 113, -72, 29, -30, 21, -60, 119, -77, 58, -54, -13, -32, 119, -118

Offset: 0

Author

Alois P. Heinz, Jun 12 2015

Keywords

• sign
• look

Links

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

Crossrefs

Cf. A000720, A258851.

Programs

Maple

with(numtheory):
d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
a:= n-> d(n+1)-d(n):
seq(a(n), n=0..100);

Formula

a(n) = A258851(n+1) - A258851(n).