A288570 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A288570

Partial sums of A019565.

1, 3, 6, 12, 17, 27, 42, 72, 79, 93, 114, 156, 191, 261, 366, 576, 587, 609, 642, 708, 763, 873, 1038, 1368, 1445, 1599, 1830, 2292, 2677, 3447, 4602, 6912, 6925, 6951, 6990, 7068, 7133, 7263, 7458, 7848, 7939, 8121, 8394, 8940, 9395, 10305, 11670, 14400, 14543

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..8191

FORMULA

G.f.: (1/(1 - x)) * Product_{k>=0} (1 + prime(k+1)*x^(2^k)). - Ilya Gutkovskiy, Aug 18 2021

PROG

(PARI)

A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };

A288570(n) = sum(i=0, n, A019565(i)); \\ Antti Karttunen, Aug 19 2021

CROSSREFS