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A371319
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E.g.f. satisfies A(x) = exp(x) + x^2*A(x)^2.
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1
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1, 1, 3, 13, 97, 881, 10561, 147505, 2453025, 46234081, 988356961, 23439248801, 613770379729, 17541180307249, 544252239627825, 18203134190836561, 653255126565875521, 25031281492493722817, 1020214630056827123137, 44067538801695759773761
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: 2*exp(x)/(1 + sqrt(1 - 4*x^2*exp(x))).
a(n) = n! * Sum_{k=0..floor(n/2)} (k+1)^(n-2*k-1) * binomial(2*k,k)/(n-2*k)!.
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(2*exp(x)/(1+sqrt(1-4*x^2*exp(x)))))
(PARI) a(n) = n!*sum(k=0, n\2, (k+1)^(n-2*k-1)*binomial(2*k, k)/(n-2*k)!);
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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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