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A303390 Expansion of Product_{k>=1} (1 + 3*x^k)/(1 - 3*x^k). 4

%I #5 Apr 23 2018 03:38:45

%S 1,6,24,96,330,1104,3552,11184,34584,105990,322224,975264,2942016,

%T 8857680,26631312,80005632,240219114,721036320,2163789816,6492625152,

%U 19480105392,58444390176,175340344416,526034008752,1578124753152,4734415061142,14203316252400

%N Expansion of Product_{k>=1} (1 + 3*x^k)/(1 - 3*x^k).

%F a(n) ~ c * 3^n, where c = QPochhammer[-1, 1/3] / QPochhammer[1/3] = 5.5877920355220979147599292926505407983327527...

%t nmax = 30; CoefficientList[Series[Product[(1+3*x^k)/(1-3*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A032308, A242587.

%Y Cf. A015128, A261584, A303391.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Apr 23 2018

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)