A293573 - OEIS

%I #6 Oct 12 2017 16:16:38

%S 1,1,-1,-5,1,41,751,-461,-61375,-114479,3197791,51784811,95861569,

%T -13289759495,-88386566449,1959369708451,39596487031681,

%U 144047673616289,-17707296608390465,-244965944457878309,5109519579305499521,149507697206554889161

%N E.g.f.: exp(x/(1 + x + x^2 + x^3 + x^4)).

%F E.g.f.: Product_{k>0} exp(x^(5*k-4)) / exp(x^(5*k-3)).

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x/(1+x+x^2+x^3+x^4))))

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, exp(x^(5*k-4)-x^(5*k-3)))))

%Y Cf. A111884, A293571, A293572.

%K sign

%O 0,4

%A _Seiichi Manyama_, Oct 12 2017