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A035393
Number of partitions of n into parts 7k or 7k+4.
0
0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 4, 2, 1, 3, 5, 2, 1, 7, 5, 2, 6, 9, 5, 2, 13, 10, 5, 9, 18, 10, 5, 21, 20, 10, 16, 30, 21, 10, 35, 35, 21, 25, 52, 37, 21, 55, 62, 38, 43, 83, 67, 38, 88, 102, 69, 68, 135, 112, 70, 135, 168, 117, 112, 208, 188, 119, 209, 265
OFFSET
1,11
FORMULA
a(n) ~ exp(2*Pi*sqrt(n/21)) * 7^(1/28) * Gamma(4/7) / (4 * 3^(15/28) * Pi^(3/7) * n^(29/28)). - Vaclav Kotesovec, Aug 27 2015
MATHEMATICA
nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+7))*(1 - x^(7k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)
CROSSREFS
Sequence in context: A289281 A374996 A212957 * A068913 A128306 A372626
KEYWORD
nonn
STATUS
approved