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A159532
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Numerator of Hermite(n, 4/17).
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1
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1, 8, -514, -13360, 784396, 37163488, -1969596536, -144639748672, 6811869595280, 723309154621568, -29648872397674016, -4417917892894055168, 153164187561258952384, 31867992005603238264320, -895931769290473862098816, -265043245463665194931667968
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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) = 17^n * Hermite(n, 4/17).
E.g.f.: exp(8*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 417], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(8/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 09 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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