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A370986
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Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x^2/2*exp(x)) ).
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1
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1, 0, 1, 3, 24, 220, 2535, 35931, 588028, 11110212, 236355885, 5605425595, 146586048906, 4190560545678, 130037568893323, 4352949788266275, 156362710268877960, 5999465853656510056, 244887352806333261753, 10595948826118665719475, 484448170190529051468910
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} k^(n-2*k) * (n+k)!/(2^k * k! * (n-2*k)!).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x^2/2*exp(x)))/x))
(PARI) a(n) = sum(k=0, n\2, k^(n-2*k)*(n+k)!/(2^k*k!*(n-2*k)!))/(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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