A035379 Number of partitions of n into parts 6k or 6k+5.

0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 4, 3, 0, 1, 2, 5, 7, 5, 1, 2, 5, 9, 12, 8, 2, 5, 10, 17, 20, 13, 5, 10, 19, 29, 32, 20, 10, 20, 34, 49, 50, 32, 20, 36, 59, 78, 77, 50, 37, 64, 97, 124, 117, 79, 66, 107, 157, 190, 176, 123, 112, 177, 247, 290, 262, 191, 187, 282

Offset

1,11

Links

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

Formula

a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(5/6) / (2^(11/6) * sqrt(3) * Pi^(1/6) * n^(7/6)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+6))*(1 - x^(6k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A103822 A225927 A029392 * A280452 A096587 A136438

Adjacent sequences: A035376 A035377 A035378 * A035380 A035381 A035382

Keyword

nonn

Author

Olivier Gérard

Status

approved