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A258864
Partial sums of the pi-based arithmetic derivative sequence A258851.
2
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
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
Sequence in context: A345888 A128223 A217258 * A111244 A022120 A041191
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 12 2015
STATUS
approved