A258864 - OEIS

A258864

Partial sums of the pi-based arithmetic derivative sequence A258851.

0, 0, 1, 3, 7, 10, 17, 21, 33, 45, 56, 61, 81, 87, 102, 121, 153, 160, 193, 201, 233, 259, 280, 289, 341, 371, 396, 450, 494, 504, 557, 568, 648, 685, 716, 757, 841, 853, 888, 932, 1016, 1029, 1102, 1116, 1180, 1267, 1308, 1323, 1451, 1507, 1592, 1647, 1723

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OFFSET

0,4

LINKS

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

FORMULA

a(n) = Sum_{k=0..n} A258851(k).

MAPLE

with(numtheory):

d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):

a:= proc(n) option remember; d(n)+`if`(n>0, a(n-1), 0) end:

seq(a(n), n=0..100);