%I #12 Sep 08 2022 08:45:43
%S 1,22,-94,-27500,-442004,53855912,2462221624,-132603427088,
%T -12879424086640,329810916948832,74254604271575584,
%U -272705805989586112,-478110301690448457536,-8626939166846096792960,3402728145231415580480384,144669210933209758019200768
%N Numerator of Hermite(n, 11/17).
%H G. C. Greubel, <a href="/A159539/b159539.txt">Table of n, a(n) for n = 0..404</a>
%F From _G. C. Greubel_, Jul 02 2018: (Start)
%F a(n) = 17^n * Hermite(n, 11/17).
%F E.g.f.: exp(22*x-289*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,11/17],{n,0,30}]] (* _Vladimir Joseph Stephan Orlovsky_, May 08 2011 *)
%t Table[17^n*HermiteH[n, 11/17], {n,0,50}] (* _G. C. Greubel_, Jul 02 2018 *)
%o (PARI) a(n)=numerator(polhermite(n,11/17)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 02 2018
%Y Cf. A159537, A159538.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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