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A160231
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Numerator of Hermite(n, 4/29).
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1
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1, 8, -1618, -39856, 7845580, 330915808, -63334001336, -3846274345024, 714924336969872, 57474862282401920, -10362725714790706976, -1049628989308325950208, 183334119260591052868288, 22652384474283979401944576, -3827564775957812126802428800
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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) = 29^n * Hermite(n, 4/29).
E.g.f.: exp(8*x - 841*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/29)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 8/29, -1618/841, -39856/24389, 7845580/707281.
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MATHEMATICA
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Table[Numerator[HermiteH[n, 4/29]], {n, 0, 15}] (* Wesley Ivan Hurt, Jun 06 2014 *)
Table[29^n*HermiteH[n, 4/29], {n, 0, 30}] (* G. C. Greubel, Sep 26 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(8*x - 841*x^2))) \\ G. C. Greubel, Sep 26 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(8/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 26 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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