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 A160220 #13 Sep 08 2022 08:45:45 %S A160220 1,19,-31,-15485,-257759,19383059,873485761,-28992725309, %T A160220 -2947706709055,34914759096979,11062889692388641,73329048495226499, %U A160220 -46309928432170516511,-1224828484332785265005,212723654088018032104961,10763608149690668144341699,-1046306531193423334034678399 %N A160220 Numerator of Hermite(n, 19/28). %H A160220 G. C. Greubel, <a href="/A160220/b160220.txt">Table of n, a(n) for n = 0..417</a> %F A160220 From _G. C. Greubel_, Sep 26 2018: (Start) %F A160220 a(n) = 14^n * Hermite(n, 19/28). %F A160220 E.g.f.: exp(19*x - 196*x^2). %F A160220 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(17/14)^(n-2*k)/(k!*(n-2*k)!)). (End) %e A160220 Numerators of 1, 19/14, -31/196, -15485/2744, -257759/38416 %t A160220 Numerator[HermiteH[Range[0,20],19/28]] (* _Harvey P. Dale_, Jul 26 2015 *) %t A160220 Table[14^n*HermiteH[n, 19/28], {n, 0, 30}] (* _G. C. Greubel_, Sep 26 2018 *) %o A160220 (PARI) a(n)=numerator(polhermite(n, 19/28)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A160220 (PARI) x='x+O('x^30); Vec(serlaplace(exp(19*x - 196*x^2))) \\ _G. C. Greubel_, Sep 26 2018 %o A160220 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(19/14)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Sep 26 2018 %Y A160220 Cf. A001023 (denominators). %K A160220 sign,frac %O A160220 0,2 %A A160220 _N. J. A. Sloane_, Nov 12 2009