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A159870
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Numerator of Hermite(n, 6/23).
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1
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1, 12, -914, -36360, 2464716, 183452112, -10836922296, -1294597074528, 64723081629840, 11734146618363072, -475483423858979616, -129853072308589057152, 3975439219167736085184, 1696319876659859502624000, -34322352500514728084132736, -25537758243092015689876280832
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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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a(n) = 23^n * Hermite(n, 6/23).
E.g.f.: exp(12*x - 529*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/23)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 12/23, -914/529, -36360/12167, 2464716/279841
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MATHEMATICA
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Table[23^n*HermiteH[n, 6/23], {n, 0, 30}] (* G. C. Greubel, Jul 14 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(12*x - 529*x^2))) \\ G. C. Greubel, Jul 14 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 14 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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