A385141 E.g.f. A(x) satisfies A(x) = exp(3*x*A(-x)^(1/3)).
1, 3, 3, -36, -147, 1728, 14391, -193344, -2572263, 39702528, 744878859, -13061956608, -320684319675, 6310454624256, 192965057926335, -4214431981191168, -155017339047231951, 3722456794316931072, 160513751565607780755, -4204149732317088448512
Offset: 0
Keywords
Programs
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PARI
a(n) = 3*sum(k=0, n, (n-k+3)^(k-1)*(-k)^(n-k)*binomial(n, k));
Formula
E.g.f.: B(x)^3, where B(x) is the e.g.f. of A141369.
a(n) = 3 * Sum_{k=0..n} (n-k+3)^(k-1) * (-k)^(n-k) * binomial(n,k).