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A300581 Expansion of Product_{k>=1} 1/(1 - 2^(k+1)*x^k). 2

%I #5 Mar 09 2018 08:01:15

%S 1,4,24,112,544,2368,10624,44800,190976,791552,3282944,13414400,

%T 54829056,222117888,899383296,3625123840,14601027584,58659700736,

%U 235555782656,944552017920,3786334535680,15166305468416,60736264994816,243129089261568,973133053952000

%N Expansion of Product_{k>=1} 1/(1 - 2^(k+1)*x^k).

%F a(n) ~ c * 4^n, where c = A065446 = 1/QPochhammer(1/2) = 3.46274661945506361...

%t nmax = 25; CoefficientList[Series[Product[1/(1-2^(k+1)*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A075900, A300579.

%Y Cf. A023882, A077365, A179381, A300520.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Mar 09 2018

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Last modified April 25 09:28 EDT 2024. Contains 371967 sequences. (Running on oeis4.)