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A035429 Number of partitions of n into parts 7k+1 or 7k+5. 0

%I

%S 1,1,1,1,2,2,2,3,3,4,4,5,6,6,8,9,10,11,12,15,16,18,20,23,26,28,32,35,

%T 39,44,48,54,58,65,72,79,87,95,105,115,126,138,150,165,180,197,213,

%U 233,254,276,300,325,354,383,415,451,487,528,569,618,666,718,776,836

%N Number of partitions of n into parts 7k+1 or 7k+5.

%F a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(1/7) * Gamma(5/7) / (4 * 3^(5/28) * 7^(9/28) * Pi^(8/7) * n^(19/28)). - _Vaclav Kotesovec_, Aug 26 2015

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

%K nonn

%O 1,5

%A _Olivier GĂ©rard_

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Last modified October 27 23:26 EDT 2020. Contains 338047 sequences. (Running on oeis4.)