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%I #19 Sep 08 2022 08:45:43
%S 1,2,-238,-1444,169900,1737592,-202103816,-2927191216,336509481872,
%T 6340061157920,-720237529201376,-16783423060569152,
%U 1883705456612924608,52506471481118666624,-5821124423542023483520,-189534174225114089489152,20751613309007317066199296
%N Numerator of Hermite(n, 1/11).
%H T. D. Noe, <a href="/A159280/b159280.txt">Table of n, a(n) for n = 0..100</a>
%F From _G. C. Greubel_, Jun 08 2018: (Start)
%F a(n) = 11^n * Hermite(n,1/11).
%F E.g.f.: exp(2*x-121*x^2).
%F a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/11)^(n-2k)/(k!*(n-2k)!). (End)
%t Numerator[Table[HermiteH[n,1/11],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)
%o (PARI) a(n)=polhermite(n,1/11)*11^n \\ _Charles R Greathouse IV_, Jun 20 2012
%o (PARI) a(n)=numerator(polhermite(n,1/11)) \\ _G. C. Greubel_, Jun 08 2018
%o (Python)
%o from sympy import hermite
%o def a(n): return hermite(n, 1/11)*11**n # _Indranil Ghosh_, May 26 2017
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/22)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 08 2018
%Y The denominators are A001020.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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