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A327690 Expansion of Product_{k>=1} B(x^k), where B(x) is the g.f. of A003114. 4

%I #13 Sep 23 2019 07:21:50

%S 1,1,2,3,6,8,14,19,31,43,64,88,131,176,250,337,471,626,859,1133,1532,

%T 2008,2674,3479,4595,5933,7745,9952,12888,16451,21142,26842,34260,

%U 43283,54878,68993,87017,108884,136564,170191,212441,263646,327616,405034,501203,617423,760964

%N Expansion of Product_{k>=1} B(x^k), where B(x) is the g.f. of A003114.

%H Vaclav Kotesovec, <a href="/A327690/b327690.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Seiichi Manyama)

%F G.f.: Product_{i>=1} Product_{j>=1} 1 / ((1-x^(i*(5*j-1))) * (1-x^(i*(5*j-4)))).

%t nmax = 50; CoefficientList[Series[Product[1/(QPochhammer[x^(5*j - 4)] * QPochhammer[x^(5*j - 1)]), {j, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Sep 23 2019 *)

%Y Cf. A003114, A327688, A327691.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 22 2019

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