A380030 Expansion of e.g.f. (1 - 3*x*exp(x))^(2/3).
1, -2, -6, -26, -208, -2570, -42332, -865718, -21110224, -597416786, -19239912340, -694646155742, -27785653906232, -1219574936748506, -58274685177526300, -3011159013528002150, -167299112903683007392, -9945379044947061586850, -629870278061691615041828
Offset: 0
Programs
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PARI
a(n) = n!*sum(k=0, n, (-3)^k*k^(n-k)*binomial(2/3, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-3)^k * k^(n-k) * binomial(2/3,k)/(n-k)!.