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A371008
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Expansion of e.g.f. (1/x) * Series_Reversion( x/(3 - 2*exp(x)) ).
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1
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1, -2, 6, -14, -82, 2058, -22778, 55186, 4737630, -141417830, 1940770358, 18532189410, -2031211536242, 63333969461098, -624072759994266, -46503997775007182, 3129486110236404926, -90436659990999596742, -559947921342589721450
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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/(n+1) * Sum_{k=0..n+1} (-2)^k * 3^(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(x/(3-2*exp(x)))/x))
(PARI) a(n) = sum(k=0, n+1, (-2)^k*3^(n+1-k)*k^n*binomial(n+1, k))/(n+1);
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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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