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A035395 Number of partitions of n into parts 7k or 7k+6. 0

%I #8 Aug 27 2015 06:12:36

%S 0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,1,2,4,3,0,0,1,2,5,7,5,0,1,2,5,9,12,

%T 7,1,2,5,10,17,19,12,2,5,10,19,28,31,17,5,10,20,33,48,47,27,10,20,35,

%U 58,75,72,40,20,36,63,94,119,107,62,36,65,104,152,180,159,92,66,109

%N Number of partitions of n into parts 7k or 7k+6.

%F a(n) ~ exp(2*Pi*sqrt(n/21)) * 7^(5/28) * Gamma(6/7) / (4 * 3^(19/28) * Pi^(1/7) * n^(33/28)). - _Vaclav Kotesovec_, Aug 27 2015

%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+7))*(1 - x^(7k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)

%K nonn

%O 1,13

%A _Olivier GĂ©rard_

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Last modified May 2 23:14 EDT 2024. Contains 372203 sequences. (Running on oeis4.)