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%I #12 Sep 08 2022 08:45:43
%S 1,22,146,-11660,-404564,6863912,834719224,4443809392,-1877181877360,
%T -53314061897888,4537477909175584,280026043216724288,
%U -10709769915546886976,-1371400569429065225600,16887916481473586409344,6861001657130755548544768,65320299895805538972610816
%N Numerator of Hermite(n, 11/13).
%H G. C. Greubel, <a href="/A159505/b159505.txt">Table of n, a(n) for n = 0..422</a>
%F From _G. C. Greubel_, Jun 11 2018: (Start)
%F a(n) = 13^n * Hermite(n,11/13).
%F E.g.f.: exp(22*x-169*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,11/13],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 14 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,11/13)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 11 2018
%Y Cf. A159280, A159488.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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