A035387 - OEIS

A035387

Number of partitions of n into parts 6k+3 or 6k+4.

0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 3, 3, 2, 4, 5, 3, 6, 7, 6, 8, 10, 8, 12, 14, 12, 16, 20, 17, 23, 27, 25, 30, 37, 34, 42, 49, 47, 55, 67, 63, 74, 87, 86, 97, 115, 113, 129, 149, 150, 166, 195, 195, 217, 249, 255, 278, 321, 327, 359, 407, 421, 456, 520, 535, 581, 654, 682

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OFFSET

1,9

LINKS

Table of n, a(n) for n=1..68.

FORMULA

a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(2/3) / (4 * 2^(1/6) * sqrt(3) * Pi^(1/3) * n^(5/6)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+3))*(1 - x^(6k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A029266 A325035 A348331 * A242308 A011373 A321783

Adjacent sequences: A035384 A035385 A035386 * A035388 A035389 A035390

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved