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%I A035367 #8 Aug 27 2015 05:53:04
%S A035367 1,1,1,1,2,3,3,3,3,5,7,8,8,8,11,15,17,18,18,23,30,35,37,38,45,57,66,
%T A035367 71,73,85,104,121,131,136,153,184,212,231,241,268,315,363,396,416,456,
%U A035367 528,603,661,696,758,865,984,1078,1141,1233,1392,1572,1724,1828,1970
%N A035367 Number of partitions of n into parts 5k or 5k+1.
%F A035367 a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(1/5) / (4 * 3^(7/20) * 5^(3/20) * Pi^(4/5) * n^(17/20)). - _Vaclav Kotesovec_, Aug 27 2015
%t A035367 nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+5))*(1 - x^(5k+1))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K A035367 nonn
%O A035367 1,5
%A A035367 _Olivier Gérard_

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