A035439 Number of partitions of n into parts 7k+4 or 7k+6.

0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 3, 2, 4, 3, 6, 4, 6, 4, 7, 6, 9, 8, 10, 9, 11, 11, 15, 14, 17, 16, 20, 18, 24, 23, 29, 27, 32, 31, 38, 38, 45, 45, 52, 51, 60, 60, 71, 71, 82, 81, 94, 94, 108, 111, 126, 128, 143, 146, 164, 169, 190, 195, 218, 221, 246

Offset

1,12

Links

Table of n, a(n) for n=1..74.

Formula

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(4/7) * Gamma(6/7) / (4 * 3^(13/28) * 7^(1/28) * Pi^(4/7) * n^(27/28)). - Vaclav Kotesovec, Aug 26 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+4))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

Crossrefs

Sequence in context: A240837 A369376 A060502 * A059111 A103502 A127950

Adjacent sequences: A035436 A035437 A035438 * A035440 A035441 A035442

Keyword

nonn

Author

Olivier Gérard

Status

approved