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A035438 Number of partitions of n into parts 7k+4 or 7k+5. 0

%I

%S 0,0,0,1,1,0,0,1,1,1,1,2,1,1,2,3,2,2,3,4,3,4,5,6,5,6,7,8,8,10,10,11,

%T 12,14,15,17,18,20,20,24,26,28,29,34,36,38,41,48,50,53,57,65,67,73,80,

%U 88,91,99,108,118,123,135,145,156,165,181,192,207,221,240,253,273,292

%N Number of partitions of n into parts 7k+4 or 7k+5.

%F a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(4/7) * Gamma(5/7) / (4 * 3^(11/28) * 7^(3/28) * Pi^(5/7) * n^(25/28)). - _Vaclav Kotesovec_, Aug 26 2015

%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+4))*(1 - x^(7k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 26 2015 *)

%K nonn

%O 1,12

%A _Olivier GĂ©rard_

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Last modified January 24 07:51 EST 2022. Contains 350534 sequences. (Running on oeis4.)