A174439 Partial sums of A001523.

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

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 A334636

Adjacent sequences: A174436 A174437 A174438 * A174440 A174441 A174442

Keyword

easy,nonn

Author

Jonathan Vos Post, Mar 19 2010

Status

approved