%I #8 Oct 12 2017 10:53:54
%S 1,0,-2,0,12,-120,-120,5040,-38640,-181440,5412960,-33264000,
%T -478336320,12194582400,-50871300480,-2168559993600,49692144902400,
%U -59775248332800,-15819216007795200,329479616206540800,1101564635255884800,-174845824790757120000
%N E.g.f.: exp(x^2/(x^3 - 1)).
%F E.g.f.: Product_{k>0} exp(x^(-(3*k-1))).
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^2/(x^3-1))))
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, exp(x^(3*k-1)))))
%Y E.g.f.: Product_{k>0} exp(x^(-(m*k-1))): A293532 (m=2), this sequence (m=3), A293568 (m=4).
%Y Cf. A293494.
%K sign
%O 0,3
%A _Seiichi Manyama_, Oct 12 2017
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