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%I #9 Sep 16 2019 19:53:36
%S 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,4,0,0,1,5,10,1,1,5,15,21,5,5,16,36,
%T 41,19,17,41,76,80,53,46,92,151,156,132,111,192,287,307,293,248,378,
%U 537,599,616,521,722,990,1158,1220,1051,1346,1818,2191,2339,2050,2481,3302
%N Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 2 and 3 (mod 5).
%H Andrew Howroyd, <a href="/A046783/b046783.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: (Sum_{k>0} x^(11*k)/(Product_{j=1..k} 1 - x^(5*j))^3)/(Product_{j>=0} 1 - x^(5*j+4)). - _Andrew Howroyd_, Sep 16 2019
%o (PARI) seq(n)={Vec(sum(k=1, n\11, x^(11*k)/prod(j=1, k, 1 - x^(5*j) + O(x*x^(n-11*k)))^4)/prod(j=0, n\5, 1 - x^(5*j+4) + O(x*x^n)), -(n+1))} \\ _Andrew Howroyd_, Sep 16 2019
%Y Cf. A046787.
%K nonn
%O 0,17
%A _David W. Wilson_
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