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A293123
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E.g.f.: exp(-x^3/(1+x)).
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2
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1, 0, 0, -6, 24, -120, 1080, -10080, 100800, -1149120, 14515200, -199584000, 2973801600, -47740492800, 820928908800, -15049152518400, 292919058432000, -6031865968128000, 130990787582054400, -2991455760887193600, 71659101232502784000, -1796424431562528768000
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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 * n^(n-1/4) * exp(-5/2 + 2*sqrt(n) - n) / sqrt(2). - Vaclav Kotesovec, Sep 30 2017
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MATHEMATICA
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CoefficientList[Series[E^(-x^3/(1+x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Sep 30 2017 *)
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PROG
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(PARI) x='x+O('x^66); Vec(serlaplace(exp(-x^3/(1+x))))
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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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