cp's OEIS Frontend

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.

A159873 Numerator of Hermite(n, 9/23).

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%I A159873 #12 Sep 08 2022 08:45:44
%S A159873 1,18,-734,-51300,1406316,242415288,-3075936456,-1594219104432,
%T A159873 -5915558486640,13386990447152928,297293775958538784,
%U A159873 -136283070963624280128,-5913000241950711410496,1623815864599061055116160,110556090890573183732052864,-22061950950410975041203610368
%N A159873 Numerator of Hermite(n, 9/23).
%H A159873 G. C. Greubel, <a href="/A159873/b159873.txt">Table of n, a(n) for n = 0..385</a>
%F A159873 From _G. C. Greubel_, Jul 15 2018: (Start)
%F A159873 a(n) = 23^n * Hermite(n, 9/23).
%F A159873 E.g.f.: exp(18*x - 529*x^2).
%F A159873 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(18/23)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e A159873 Numerators of 1, 18/23, -734/529, -51300/12167, 1406316/279841,...
%t A159873 HermiteH[Range[0,20],9/23]//Numerator (* _Harvey P. Dale_, Aug 11 2016 *)
%t A159873 Table[23^n*HermiteH[n, 9/23], {n,0,30}] (* _G. C. Greubel_, Jul 15 2018 *)
%o A159873 (PARI) a(n)=numerator(polhermite(n, 9/23)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159873 (PARI) x='x+O('x^30); Vec(serlaplace(exp(18*x - 529*x^2))) \\ _G. C. Greubel_, Jul 15 2018
%o A159873 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(18/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 15 2018
%Y A159873 Cf. A009967 (denominators)
%K A159873 sign,frac
%O A159873 0,2
%A A159873 _N. J. A. Sloane_, Nov 12 2009