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A159517
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Numerator of Hermite(n, 8/15).
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1
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1, 16, -194, -17504, -18164, 31216576, 540334216, -75639407744, -2912283304304, 225705335009536, 15406032742583776, -769177483661571584, -88566701814374836544, 2736491182742489168896, 561899064537972620484736, -8249509418670119836289024
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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) = 15^n * Hermite(n,8/15).
E.g.f.: exp(16*x-225*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(16/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 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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