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A054912
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Expansion of e.g.f.: sqrt(exp(5*x)/(2-exp(x))).
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1
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1, 3, 10, 39, 187, 1128, 8455, 76359, 806032, 9715773, 131479675, 1972203654, 32464248277, 581680548543, 11267985324970, 234636397255299, 5226203231564047, 123980282579987688, 3120721375925421715, 83069463947823034419
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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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E.g.f.: sqrt(exp(5*x)/(2 - exp(x))).
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MATHEMATICA
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CoefficientList[Series[Sqrt[E^(5*x)/(2-E^x)], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 27 2013 *)
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PROG
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(Magma)
R<x>:=PowerSeriesRing(Rationals(), 30);
Coefficients(R!(Laplace( Sqrt(Exp(5*x)/(2 - Exp(x))) ))); // G. C. Greubel, Apr 28 2023
(SageMath)
P.<x> = PowerSeriesRing(QQ, prec)
return P( sqrt(exp(5*x)/(2-exp(x))) ).egf_to_ogf().list()
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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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