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A159280 Numerator of Hermite(n, 1/11). 25

%I

%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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Last modified July 14 09:22 EDT 2020. Contains 335720 sequences. (Running on oeis4.)