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%I #11 Sep 08 2022 08:45:43
%S 1,13,41,-2795,-52079,754013,43132729,-18356507,-38885559775,
%T -486715213907,38468867080009,1123090745841077,-39563985152718671,
%U -2239399192597236995,36722281790359787609,4490393016408925933957,-12131671824174755067839
%N Numerator of Hermite(n, 13/16).
%H G. C. Greubel, <a href="/A159527/b159527.txt">Table of n, a(n) for n = 0..450</a>
%F From _G. C. Greubel_, Jun 09 2018: (Start)
%F a(n) = 16^n * Hermite(n,13/16).
%F E.g.f.: exp(26*x-252*x^2).
%F a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(13/8)^(n-2k)/(k!*(n-2k)!). (End)
%t Numerator[Table[HermiteH[n,13/16],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,13/16)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(13/8)^(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