A035434 Number of partitions of n into parts 7k+2 or 7k+6.

0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 4, 3, 6, 4, 7, 5, 9, 6, 11, 8, 13, 11, 15, 14, 18, 17, 22, 21, 26, 25, 33, 29, 39, 36, 46, 43, 55, 52, 63, 64, 74, 75, 88, 89, 103, 104, 122, 121, 144, 142, 167, 167, 193, 196, 224, 229, 258, 268, 298, 309, 347, 356, 400, 412

Offset

1,6

Links

Table of n, a(n) for n=1..69.

Formula

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(2/7) * Gamma(6/7) / (4 * 3^(9/28) * 7^(5/28) * Pi^(6/7) * n^(23/28)). - Vaclav Kotesovec, Aug 26 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+2))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

Crossrefs

Sequence in context: A352513 A025814 A029354 * A029223 A305576 A129679

Adjacent sequences: A035431 A035432 A035433 * A035435 A035436 A035437

Keyword

nonn

Author

Olivier Gérard

Status

approved