This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A159326 #21 Sep 08 2022 08:45:43 %S A159326 1,8,-178,-5296,86860,5821408,-58529336,-8920919104,27781342352, %T A159326 17493150124160,79437437350624,-41697923801662208,-545045848640658752, %U A159326 116730403930901782016,2648557471270726689920,-374294148747729423950848,-12608616810694573276016384 %N A159326 Numerator of Hermite(n, 4/11). %H A159326 G. C. Greubel, <a href="/A159326/b159326.txt">Table of n, a(n) for n = 0..434</a> %F A159326 From _G. C. Greubel_, Jun 26 2018: (Start) %F A159326 a(n) = 11^n * Hermite(n, 8/11). %F A159326 E.g.f.: exp(8*x - 121*x^2). %F A159326 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/11)^(n-2*k)/(k!*(n-2*k)!)). (End) %F A159326 a(n) = 8*a(n-1) - 242*(n-1)*a(n-2) for n>1. - _Vincenzo Librandi_, Jun 27 2018 [corrected by _Georg Fischer_, Dec 23 2019] %t A159326 Numerator[Table[HermiteH[n,4/11],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *) %o A159326 (PARI) a(n)=numerator(polhermite(n,4/11)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A159326 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(8/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 26 2018 %o A159326 (Magma) I:=[1, 8]; [n le 2 select I[n] else 8*Self(n-1)-242*(n-2)*Self(n-2): n in [1..25]]; // _Vincenzo Librandi_, Jun 27 2018 %Y A159326 Cf. A159280. %K A159326 sign,frac %O A159326 0,2 %A A159326 _N. J. A. Sloane_, Nov 12 2009