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A288570
Partial sums of A019565.
2
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
OFFSET
0,2
LINKS
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
Cf. A019565.
Sequence in context: A323645 A307042 A146952 * A038046 A345100 A162845
KEYWORD
nonn,look
AUTHOR
N. J. A. Sloane, Jun 26 2017
STATUS
approved