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A371007
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Expansion of e.g.f. (1/x) * Series_Reversion( 2*x/(3*exp(2*x) - 1) ).
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2
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1, 3, 24, 336, 6864, 185808, 6286560, 255703584, 12163234560, 662866302720, 40735968170496, 2787616114300416, 210253334027606016, 17331011952028981248, 1550159522438672412672, 149539908497083261980672, 15476976326308703371984896
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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) = 1/(2*(n+1)) * Sum_{k=0..n+1} 3^k * (-1)^(n+1-k) * k^n * binomial(n+1,k).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(2*x/(3*exp(2*x)-1))/x))
(PARI) a(n) = sum(k=0, n+1, 3^k*(-1)^(n+1-k)*k^n*binomial(n+1, k))/(2*(n+1));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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