A035389 Number of partitions of n into parts 6k+4 or 6k+5.

0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 3, 6, 5, 5, 4, 6, 8, 9, 9, 9, 9, 13, 14, 17, 16, 17, 19, 23, 26, 28, 28, 32, 34, 41, 44, 49, 50, 54, 60, 70, 75, 81, 83, 93, 102, 116, 124, 132, 138, 153, 169, 189, 198, 211, 224, 250, 273, 298, 313, 336, 359, 397, 429

Offset

1,10

Links

Table of n, a(n) for n=1..71.

Formula

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

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+4))*(1 - x^(6k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A156070 A323670 A114731 * A129176 A134132 A308121

Adjacent sequences: A035386 A035387 A035388 * A035390 A035391 A035392

Keyword

nonn

Author

Olivier Gérard

Status

approved