PROG
(MAGMAMagma) [Numerator((&+[(-1)^k*Factorial(n)*(10/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; //G. C. Greubel,Jun 12 2018
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(MAGMAMagma) [Numerator((&+[(-1)^k*Factorial(n)*(10/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; //G. C. Greubel,Jun 12 2018
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G. C. Greubel, <a href= "/A159497/b159497.txt ">Table of n, a(n) for n = 0..422</a>
FromG. C. Greubel,Jun 12 2018: (Start)
a(n) = 13^n * Hermite(n,5/13).
E.g.f.: exp(10*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(10/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; //G. C. Greubel,Jun 12 2018
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(PARI) a(n)=numerator(polhermite(n, 5/13)) \\Charles R Greathouse IV,Jan 29 2016
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Numerator[Table[HermiteH[n, 5/13], {n, 0, 50}]] (*From_Vladimir Joseph Stephan Orlovsky,_,Apr 14 2011 *)
_N. J. A. Sloane(njas(AT)research.att.com),_,Nov 12 2009
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