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A293526 E.g.f.: exp(x^3/(1 - x^4)). 2

%I #14 Oct 15 2017 05:04:02

%S 1,0,0,6,0,0,360,5040,0,60480,3628800,39916800,19958400,3113510400,

%T 130767436800,1318571654400,3487131648000,355687428096000,

%U 12813639597158400,126713646259200000,1013709170073600000,85161707377883136000,2819368492175499264000

%N E.g.f.: exp(x^3/(1 - x^4)).

%F E.g.f.: Product_{k>0} exp(x^(4*k-1)).

%F a(n) ~ exp(sqrt(n) - n - 1/4) * n^(n - 1/4) / 2. - _Vaclav Kotesovec_, Oct 15 2017

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^3/(1-x^4))))

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, exp(x^(4*k-1)))))

%Y E.g.f.: Product_{k>0} exp(x^(m*k-1)): A088009 (m=2), A293494 (m=3), this sequence (m=4).

%Y Cf. A293507.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Oct 11 2017

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)