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A158700
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a(n) = Hermite(n, 18).
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1
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1, 36, 1294, 46440, 1664076, 59535216, 2126627016, 75844149984, 2700616621200, 96008691963456, 3407701811502816, 120757091374832256, 4272285849640899264, 150904120394076399360, 5321468902096086996096, 187347565104424992677376
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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E.g.f.: exp(36*x - x^2).
a(n) = 36*a(n-1) - 2*(n-1)*a(n-2). (End)
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MATHEMATICA
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Table[HermiteH[n, 18], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[36*x - x^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 13 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(36*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(36*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 13 2018
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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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