A035376 Number of partitions of n into parts 6k or 6k+2.

0, 1, 0, 1, 0, 2, 0, 3, 0, 3, 0, 5, 0, 7, 0, 8, 0, 11, 0, 15, 0, 17, 0, 23, 0, 30, 0, 35, 0, 44, 0, 57, 0, 66, 0, 82, 0, 103, 0, 121, 0, 146, 0, 181, 0, 211, 0, 253, 0, 308, 0, 360, 0, 425, 0, 513, 0, 596, 0, 700, 0, 834, 0, 969, 0, 1127, 0, 1333, 0, 1541, 0, 1786, 0, 2093, 0

Offset

1,6

Links

Table of n, a(n) for n=1..75.

Formula

If n is even, a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(1/3) / (2^(13/12) * sqrt(3) * Pi^(2/3) * n^(11/12)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+6))*(1 - x^(6k+2))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A213177 A265017 A349136 * A259708 A029220 A249901

Adjacent sequences: A035373 A035374 A035375 * A035377 A035378 A035379

Keyword

nonn

Author

Olivier Gérard

Status

approved