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%I #12 Sep 08 2022 08:45:43
%S 1,20,-178,-26680,-224948,57185200,1793803720,-162442199200,
%T -10506573835120,541001252398400,65475222138262240,
%U -1817482796097507200,-452641118277021465920,3553238308191880620800,3472210128897376907338880,40691398188058840163264000
%N Numerator of Hermite(n, 10/17).
%H G. C. Greubel, <a href="/A159538/b159538.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, 10/17).
%F E.g.f.: exp(20*x-289*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(20/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,10/17],{n,0,30}]] (* _Vladimir Joseph Stephan Orlovsky_, May 08 2011 *)
%t Table17^n*HermiteH[n, 10/17], {n,0,50}] (* _G. C. Greubel_, Jul 02 2018 *)
%o (PARI) a(n)=numerator(polhermite(n,10/17)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(20/17)^(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. A159535, A159536, A159537.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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