A046775 - OEIS

%I #9 Sep 16 2019 18:14:44

%S 1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,8,0,0,0,0,22,0,0,0,0,53,0,0,0,0,124,0,

%T 0,0,0,269,0,0,0,0,568,0,0,0,0,1152,0,0,0,0,2284,0,0,0,0,4410,0,0,0,0,

%U 8363,0,0,0,0,15542,0,0,0,0,28438,0,0,0,0,51201,0,0,0,0,90930,0,0,0,0

%N Number of partitions of n with equal number of parts congruent to each of 1, 2, 3 and 4 (mod 5).

%H Andrew Howroyd, <a href="/A046775/b046775.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: (Sum_{k>=0} x^(10*k)/(Product_{j=1..k} 1 - x^(5*j))^3)/(Product_{j>=0} 1 - x^(5*j+5)). - _Andrew Howroyd_, Sep 16 2019

%o (PARI) seq(n)={Vec(sum(k=0, n\10, x^(10*k)/prod(j=1, k, 1 - x^(5*j) + O(x*x^n))^4)/prod(j=0, n\5, 1 - x^(5*j+5) + O(x*x^n)))} \\ _Andrew Howroyd_, Sep 16 2019

%Y Cf. A046765.

%K nonn

%O 0,11

%A _David W. Wilson_