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 A293566 E.g.f.: Product_{m>=0} exp(-x^(4*m+1)). 2

%I

%S 1,-1,1,-1,1,-121,721,-2521,6721,-378001,5473441,-39972241,199679041,

%T -7005552841,176899522801,-2186722497961,17454339826561,

%U -459473703430561,16503993702423361,-306140370496394401,3555223271216311681,-80917223353652470681

%N E.g.f.: Product_{m>=0} exp(-x^(4*m+1)).

%H Muniru A Asiru, <a href="/A293566/b293566.txt">Table of n, a(n) for n = 0..50</a>

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

%p seq(factorial(k) * coeftayl(product(exp(-x^(4*m + 1)),m = 0..k), x = 0, k),k = 0..50); # _Muniru A Asiru_, Oct 15 2017

%t CoefficientList[Series[E^(x/(x^4 - 1)), {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Oct 13 2017 *)

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

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(m=0, N, exp(x^(4*m+1)))))

%Y E.g.f.: Product_{m>=0} exp(-x^(k*m+1)): A293116 (k=1), A293532 (k=2), A293565 (k=3), this sequence (k=4).

%Y Cf. A293507.

%K sign

%O 0,6

%A _Seiichi Manyama_, Oct 12 2017

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Last modified September 17 08:53 EDT 2019. Contains 327127 sequences. (Running on oeis4.)