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%I #17 Sep 08 2022 08:45:44
%S 1,32,-34,-68800,-2093684,224163712,18248827144,-839028775168,
%T -161999734633840,1917548044739072,1603923010615074784,
%U 31037878026343011328,-17673243900695263973696,-959600704244699318978560,212370574074332282486900864,21009464001651119352291258368
%N Numerator of Hermite(n, 16/23).
%H G. C. Greubel, <a href="/A159889/b159889.txt">Table of n, a(n) for n = 0..385</a>
%F From _G. C. Greubel_, Jul 11 2018: (Start)
%F a(n) = 23^n * Hermite(n, 16/23).
%F E.g.f.: exp(32*x - 529*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(32/23)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 32/23, -34/529, -68800/12167, -2093684/279841..
%t Numerator[Table[HermiteH[n,16/23],{n,0,40}]] (* _Vladimir Joseph Stephan Orlovsky_, Mar 21 2011*)
%t Table[23^n*HermiteH[n, 16/23], {n,0,30}] (* _G. C. Greubel_, Jul 11 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 16/23)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(32/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 11 2018
%Y Cf. A009967 (denominators)
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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