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A361194
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E.g.f. satisfies A(x) = exp( -3*x*A(x) ) / (1-x).
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3
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1, -2, 17, -237, 4893, -133683, 4567905, -187666587, 9017657433, -496470972951, 30824023641669, -2131090659947439, 162397790115179733, -13525005928296072915, 1222285110682680848169, -119135392516302191619507, 12458374493322416970025521
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..n} (-3)^k * (k+1)^(k-1) * binomial(n,k)/k!.
E.g.f.: LambertW( 3*x/(1-x) ) / (3*x).
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PROG
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(PARI) a(n) = n!*sum(k=0, n, (-3)^k*(k+1)^(k-1)*binomial(n, k)/k!);
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(lambertw(3*x/(1-x))/(3*x)))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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