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A370991
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Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x^2/2*(exp(x) - 1)) ).
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2
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1, 0, 0, 3, 6, 10, 735, 5691, 29428, 1122696, 18159165, 190810675, 5768268726, 143497346928, 2479363382587, 73013461310895, 2336253676913640, 58015822633914736, 1850758447642034553, 69357415099500398979, 2252468410247071488970
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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/3)} (n+k)! * Stirling2(n-2*k,k)/(2^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)-1)))/x))
(PARI) a(n) = sum(k=0, n\3, (n+k)!*stirling(n-2*k, k, 2)/(2^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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