A035388 Number of partitions of n into parts 6k+3 or 6k+5.

0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 3, 4, 2, 4, 5, 3, 7, 7, 5, 9, 9, 8, 13, 13, 11, 17, 18, 16, 24, 24, 22, 32, 32, 31, 43, 42, 42, 56, 56, 57, 74, 74, 75, 96, 96, 100, 125, 124, 130, 160, 161, 171, 205, 205, 219, 261, 264, 282, 330, 334, 359, 418, 424, 456, 524, 533

Offset

1,9

Links

Table of n, a(n) for n=1..69.

Formula

a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(5/6) / (4 * 2^(1/12) * sqrt(3) * Pi^(1/6) * n^(11/12)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+3))*(1 - x^(6k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A366063 A238190 A227925 * A255716 A351289 A177954

Adjacent sequences: A035385 A035386 A035387 * A035389 A035390 A035391

Keyword

nonn

Author

Olivier Gérard

Status

approved