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%I #12 Sep 08 2022 08:45:43
%S 1,9,31,-621,-10239,32049,2848191,16019019,-852695679,-14081868711,
%T 256976237151,9353720489859,-57153446024319,-6126613308134271,
%U -17989779857401089,4126721296977379899,50632826565847235841,-2845681598489278796631
%N Numerator of Hermite(n, 9/10).
%H G. C. Greubel, <a href="/A159279/b159279.txt">Table of n, a(n) for n = 0..450</a>
%F From _G. C. Greubel_, Jun 27 2018: (Start)
%F a(n) = 5^n * Hermite(n, 9/10).
%F E.g.f.: exp(9*x - 25*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/5)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,3/10],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)
%t Table[5^n*HermiteH[n, 9/10], {n,0,30}] (* _G. C. Greubel_, Jun 27 2018 *)
%o (PARI) a(n)=numerator(polhermite(n,9/10)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(9/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 27 2018
%Y Cf. A159247.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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