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A174439 Partial sums of A001523. 1
1, 2, 4, 8, 16, 31, 58, 105, 184, 314, 523, 853, 1365, 2149, 3332, 5097, 7701, 11505, 17009, 24907, 36147, 52027, 74304, 105352, 148355, 207575, 288673, 399157, 548926, 750996, 1022400, 1385374, 1868813, 2510181, 3357862, 4474187, 5939186 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The subsequence of primes begins: 2, 31, 523, 853, 24907, 52027, 1868813, ...

LINKS

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

FORMULA

a(n) = Sum_{i=0..n} A001523(i).

a(n) ~ exp(2*Pi*sqrt(n/3))/(8*Pi*3^(1/4)*n^(3/4)). - Vaclav Kotesovec, Dec 13 2015

MATHEMATICA

nmax = 41; A001523 = CoefficientList[Series[1 + Sum[(-1)^(k + 1)*x^(k*(k + 1)/2), {k, 1, nmax}] / QPochhammer[x]^2, {x, 0, nmax}], x]; s = 0; Table[s = s + A001523[[k]], {k, 1, nmax}] (* Vaclav Kotesovec, Dec 13 2015 *)

CROSSREFS

Cf. A001523, A054250, A059618, A059623, A001522, A001524, A000569, A100505, A100506.

Sequence in context: A056183 A000127 A133552 * A000128 A106399 A007800

Adjacent sequences:  A174436 A174437 A174438 * A174440 A174441 A174442

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Mar 19 2010

STATUS

approved

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Last modified December 11 13:33 EST 2017. Contains 295876 sequences.