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%I #12 Sep 08 2022 08:45:44
%S 1,6,-1022,-18828,3130860,98465256,-15971457864,-720886192272,
%T 113959299787152,6785336530113120,-1044408433392582624,
%U -78055311088952305344,11686493481289162746048,1061109190473073445123712,-154369376198812703738401920,-16643365586480040091602833664
%N Numerator of Hermite(n, 3/23).
%H G. C. Greubel, <a href="/A159865/b159865.txt">Table of n, a(n) for n = 0..385</a>
%F From _G. C. Greubel_, Jul 14 2018: (Start)
%F a(n) = 23^n * Hermite(n, 3/23).
%F E.g.f.: exp(6*x - 529*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(6/23)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n, 3/23], {n, 0, 30}]] (* _Vladimir Joseph Stephan Orlovsky_, Jun 22 2011 *)
%t Table[23^n*HermiteH[n, 3/23], {n,0,30}] (* _G. C. Greubel_, Jul 14 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 3/23)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(6*x - 529*x^2))) \\ _G. C. Greubel_, Jul 14 2018
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(6/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 14 2018
%Y Cf. A159858, A159859.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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