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A159753
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Numerator of Hermite(n, 10/21).
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1
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1, 20, -482, -44920, 376972, 166017200, 1657897480, -845405072800, -27143960497520, 5422298983726400, 323914738103841760, -41346382274390012800, -3969548434571273011520, 358219141300718435244800, 52679225176808585054984320, -3369705453245099537303104000
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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) = 21^n * Hermite(n, 10/21).
E.g.f.: exp(20*x - 441*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(20/21)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[21^n*HermiteH[n, 10/21], {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(20*x - 441*x^2))) \\ G. C. Greubel, Jul 14 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(20/21)^(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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