A035374 - OEIS

%I #8 Aug 27 2015 05:59:04

%S 0,0,1,1,0,1,1,2,2,1,2,4,3,3,4,6,6,7,7,9,11,12,12,16,17,20,23,25,27,

%T 33,36,41,44,50,57,66,69,77,88,100,107,120,131,149,165,180,196,222,

%U 242,268,293,323,353,394,428,470,513,565,617,680,734,805,882,966,1046

%N Number of partitions of n into parts 5k+3 or 5k+4.

%F a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(3/5) * Gamma(4/5) / (4 * 3^(9/20) * 5^(1/20) * Pi^(3/5) * n^(19/20)). - _Vaclav Kotesovec_, Aug 27 2015

%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+3))*(1 - x^(5k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)

%K nonn

%O 1,8

%A _Olivier Gérard_