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 A159504 Numerator of Hermite(n, 10/13). 1

%I

%S 1,20,62,-12280,-308468,10433200,729974920,-6559031200,-1858301284720,

%T -19430405329600,5264344401526240,170961658044572800,

%U -16153599323983104320,-1016492471508449363200,50649065999412773118080,5823023695166237849024000,-140330290713698002728185600

%N Numerator of Hermite(n, 10/13).

%H G. C. Greubel, <a href="/A159504/b159504.txt">Table of n, a(n) for n = 0..422</a>

%F From _G. C. Greubel_, Jun 11 2018: (Start)

%F a(n) = 13^n * Hermite(n,10/13).

%F E.g.f.: exp(20*x-169*x^2).

%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(20/13)^(n-2*k)/(k!*(n-2*k)!)). (End)

%t Numerator[Table[HermiteH[n,10/13],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 14 2011 *)

%o (PARI) a(n)=numerator(polhermite(n,10/13)) \\ _Charles R Greathouse IV_, Jan 29 2016

%o (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(20/13)^(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

%Y Cf. A159280, A159488.

%K sign,frac

%O 0,2

%A _N. J. A. Sloane_, Nov 12 2009

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Last modified August 14 04:32 EDT 2018. Contains 313748 sequences. (Running on oeis4.)