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

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);

Crossrefs

Cf. A000720, A258851.

Sequence in context: A345888 A128223 A217258 * A111244 A022120 A041191

Adjacent sequences: A258861 A258862 A258863 * A258865 A258866 A258867

Keyword

nonn

Author

Alois P. Heinz, Jun 12 2015

Status

approved