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A293120
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Expansion of e.g.f. exp(x^2/(1+x)).
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3
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1, 0, 2, -6, 36, -240, 1920, -17640, 183120, -2116800, 26943840, -374220000, 5628934080, -91122071040, 1579034096640, -29155689763200, 571308920582400, -11838533804697600, 258608278645516800, -5938673374272038400, 143003892952893772800
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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.: exp(x^2/(1+x)).
a(n) ~ (-1)^n * n^(n-1/4) * exp(-3/2 + 2*sqrt(n) - n)/sqrt(2). - Vaclav Kotesovec, Sep 30 2017
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MATHEMATICA
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CoefficientList[Series[E^(x^2/(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^2/(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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