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 A159763 #24 Mar 18 2024 12:00:24
%S A159763 1,32,142,-51904,-2036660,117944192,12755884744,-215972352256,
%T A159763 -85665947681648,-1217409408294400,641059191631501024,
%U A159763 31251445113364640768,-5219510033581154430272,-497789616154448299657216,43917634328099171108467840,7552070478774301079638274048
%N A159763 Numerator of Hermite(n, 16/21).
%H A159763 Robert Israel, <a href="/A159763/b159763.txt">Table of n, a(n) for n = 0..391</a>
%F A159763 From _Robert Israel_, Jan 02 2018: (Start)
%F A159763 a(n) = 21^n * Hermite(n,16/21).
%F A159763 E.g.f.: exp(32*x-441*x^2).
%F A159763 a(n+2) = 32*a(n+1) - 882*(n+1)*a(n). (End)
%p A159763 seq(21^n*orthopoly[H](n,16/21), n=0..50); # _Robert Israel_, Jan 02 2018
%t A159763 Numerator[Table[HermiteH[n, 16/21], {n, 0, 30}]] (* _Vladimir Joseph Stephan Orlovsky_, Jun 17 2011 *)
%o A159763 (PARI) a(n)=numerator(polhermite(n, 16/21)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159763 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(32/21)^(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 A159763 Cf. A009965 (denominators).
%K A159763 sign,frac
%O A159763 0,2
%A A159763 _N. J. A. Sloane_, Nov 12 2009