Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #8 Aug 27 2015 06:10:25
%S 0,0,1,0,0,1,1,0,1,2,0,1,2,2,1,2,4,1,2,5,4,2,5,8,2,5,10,7,5,11,14,5,
%T 11,19,12,11,21,24,11,22,33,22,22,38,41,22,40,58,37,41,68,67,41,73,95,
%U 63,75,114,108,76,124,155,106,129,188,173,131,208,246,174,218,303,271
%N Number of partitions of n into parts 7k or 7k+3.
%F a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(3/7) / (4 * 3^(13/28) * 7^(1/28) * Pi^(4/7) * n^(27/28)). - _Vaclav Kotesovec_, Aug 27 2015
%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+7))*(1 - x^(7k+3))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K nonn
%O 1,10
%A _Olivier Gérard_