A035437 Number of partitions of n into parts 7k+3 or 7k+6.

0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 3, 2, 0, 3, 3, 1, 4, 4, 3, 4, 5, 5, 6, 6, 8, 8, 7, 10, 13, 9, 13, 17, 13, 15, 23, 19, 19, 28, 28, 24, 34, 37, 34, 40, 48, 46, 50, 58, 63, 64, 71, 80, 85, 85, 100, 110, 108, 120, 142, 137, 146, 174, 178, 179, 212, 224, 226, 252, 280, 285, 307

Offset

1,6

Links

Table of n, a(n) for n=1..72.

Formula

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(3/7) * Gamma(6/7) / (4 * 3^(11/28) * 7^(3/28) * Pi^(5/7) * n^(25/28)). - Vaclav Kotesovec, Aug 26 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+3))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

Crossrefs

Sequence in context: A025843 A303906 A178580 * A339815 A156996 A029304

Adjacent sequences: A035434 A035435 A035436 * A035438 A035439 A035440

Keyword

nonn

Author

Olivier Gérard

Status

approved