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 A159784 #23 Mar 18 2024 12:03:04
%S A159784 1,38,562,-45676,-3222740,38680808,15682154104,391223020016,
%T A159784 -81955144677488,-5874765126977440,427318863624757024,
%U A159784 68053545237681787712,-1559812895855484713792,-779551612838132460267904,-11738146623970045761841280,9179853743614397880438109952
%N A159784 Numerator of Hermite(n, 19/21).
%H A159784 G. C. Greubel, <a href="/A159784/b159784.txt">Table of n, a(n) for n = 0..390</a>
%F A159784 From _G. C. Greubel_, Jul 11 2018: (Start)
%F A159784 a(n) = 21^n * Hermite(n, 19/21).
%F A159784 E.g.f.: exp(38*x - 441*x^2).
%F A159784 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(38/21)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159784 Numerator[Table[HermiteH[n, 19/21], {n, 0, 30}]] (* _Vladimir Joseph Stephan Orlovsky_, Jun 17 2011 *)
%t A159784 Table[21^n*HermiteH[n, 19/21], {n,0,50}] (* _G. C. Greubel_, Jul 11 2018 *)
%o A159784 (PARI) a(n)=numerator(polhermite(n, 19/21)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159784 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(38/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, May 21 2018
%Y A159784 Cf. A009965 (denominators).
%K A159784 sign,frac
%O A159784 0,2
%A A159784 _N. J. A. Sloane_, Nov 12 2009