A035394 Number of partitions of n into parts 7k or 7k+5.

0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 4, 1, 3, 2, 0, 5, 1, 7, 2, 5, 5, 1, 9, 2, 12, 5, 8, 10, 2, 17, 5, 20, 10, 13, 19, 5, 29, 10, 32, 20, 20, 34, 10, 49, 20, 50, 36, 32, 59, 20, 78, 37, 77, 64, 50, 97, 37, 124, 66, 117, 107, 79, 157, 67, 190, 112, 176, 177, 123

Offset

1,12

Links

Table of n, a(n) for n=1..77.

Formula

a(n) ~ exp(2*Pi*sqrt(n/21)) * 7^(3/28) * Gamma(5/7) / (4 * 3^(17/28) * Pi^(2/7) * n^(31/28)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+7))*(1 - x^(7k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A143946 A226860 A244526 * A321101 A067167 A255195

Adjacent sequences: A035391 A035392 A035393 * A035395 A035396 A035397

Keyword

nonn

Author

Olivier Gérard

Status

approved