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%I #8 Aug 27 2015 05:55:31
%S 0,0,0,1,1,0,0,1,2,2,0,1,2,4,3,1,2,5,7,6,2,5,9,13,9,5,10,18,21,16,10,
%T 20,30,35,25,21,35,52,55,43,37,62,83,88,68,67,102,135,135,111,112,168,
%U 208,209,173,188,265,323,314,275,300,415,485,475,421,477,632,730,703
%N Number of partitions of n into parts 5k or 5k+4.
%F a(n) ~ exp(2*Pi*sqrt(n/15)) * 5^(3/20) * Gamma(4/5) / (4 * 3^(13/20) * Pi^(1/5) * n^(23/20)). - _Vaclav Kotesovec_, Aug 27 2015
%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+5))*(1 - x^(5k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K nonn
%O 1,9
%A _Olivier GĂ©rard_