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%I #21 Sep 08 2022 08:45:43
%S 1,15,97,-2385,-73023,125775,48621345,632724975,-34073850495,
%T -1159018131825,21867803792865,1811560265628975,-3616463755919295,
%U -2836803524344895025,-36534257175323718495,4535538057996196107375,138178844646564481121025
%N Numerator of Hermite(n, 15/16).
%H G. C. Greubel, <a href="/A159528/b159528.txt">Table of n, a(n) for n = 0..450</a>
%F From _G. C. Greubel_, Jun 09 2018: (Start)
%F a(n) = 8^n * Hermite(n, 15/16).
%F E.g.f.: exp(15*x-64*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/8)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,15/16],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,15/16)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(15/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 09 2018
%Y Cf. A159521.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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