A035388 - OEIS

%I #8 Aug 27 2015 06:07:26

%S 0,0,1,0,1,1,0,1,2,1,2,2,1,3,4,2,4,5,3,7,7,5,9,9,8,13,13,11,17,18,16,

%T 24,24,22,32,32,31,43,42,42,56,56,57,74,74,75,96,96,100,125,124,130,

%U 160,161,171,205,205,219,261,264,282,330,334,359,418,424,456,524,533

%N Number of partitions of n into parts 6k+3 or 6k+5.

%F a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(5/6) / (4 * 2^(1/12) * sqrt(3) * Pi^(1/6) * n^(11/12)). - _Vaclav Kotesovec_, Aug 27 2015

%t nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+3))*(1 - x^(6k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, Aug 27 2015 *)

%K nonn

%O 1,9

%A _Olivier Gérard_