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A293117
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E.g.f.: exp(x^2/(x-1)).
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3
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1, 0, -2, -6, -12, 0, 240, 2520, 21840, 181440, 1481760, 11642400, 80498880, 311351040, -4739454720, -183437654400, -4300276780800, -88851284121600, -1754954007206400, -34107089784768000, -659574028252339200, -12724865943229440000, -244046146272658329600
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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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D-finite with recurrence a(n) = (2*n-2)*a(n-1) - (n^2-n)*a(n-2) + (n^2-3*n+2)*a(n-3). - Robert Israel, Apr 29 2021
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 1, -add(
a(n-j)*binomial(n-1, j-1)*j!, j=2..n))
end:
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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/(x-1))))
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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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