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%I #13 Sep 08 2022 08:45:43
%S 1,2,-334,-2020,334636,3400312,-558734216,-8013301168,1305938552720,
%T 24279843463712,-3924105390446816,-89914081688240192,
%U 14409995678304781504,393511506684111781760,-62530497997102986365056,-1987157445623422924018432,313055309954065295022797056
%N Numerator of Hermite(n, 1/13).
%H G. C. Greubel, <a href="/A159488/b159488.txt">Table of n, a(n) for n = 0..422</a>
%F From _G. C. Greubel_, Jun 08 2018: (Start)
%F a(n) = 13^n * Hermite(n,1/13).
%F E.g.f.: exp(2*x-169*x^2).
%F a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/13)^(n-2k)/(k!*(n-2k)!). (End)
%t Numerator[Table[HermiteH[n,1/13],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 13 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,1/13)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 08 2018
%Y Cf. A159280.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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