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A035389
Number of partitions of n into parts 6k+4 or 6k+5.
0
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
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
KEYWORD
nonn
STATUS
approved