

A035380


Number of partitions of n into parts 6k+1 or 6k+2.


0



1, 2, 2, 3, 3, 4, 5, 7, 8, 10, 11, 13, 15, 19, 22, 27, 30, 35, 39, 46, 53, 62, 70, 80, 89, 102, 115, 133, 149, 169, 187, 211, 235, 266, 297, 333, 368, 410, 454, 508, 563, 628, 691, 765, 841, 932, 1027, 1136, 1247, 1372, 1502, 1653, 1812, 1993, 2179, 2388
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..56.


FORMULA

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


MATHEMATICA

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


CROSSREFS

Sequence in context: A130083 A117357 A029020 * A036823 A035575 A036816
Adjacent sequences: A035377 A035378 A035379 * A035381 A035382 A035383


KEYWORD

nonn


AUTHOR

Olivier Gérard


STATUS

approved



