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 A158965 #14 Sep 08 2022 08:45:43 %S A158965 1,6,-14,-684,-2004,124776,1249656,-29934864,-616988784,8272012896, %T A158965 327277030176,-2172344266944,-193036432198464,145187966975616, %U A158965 126344808730855296,656437275502200576,-90819982895128268544,-1070069717772530072064,70776567154223847830016 %N A158965 Numerator of Hermite(n, 3/5). %H A158965 G. C. Greubel, <a href="/A158965/b158965.txt">Table of n, a(n) for n = 0..450</a> %F A158965 From _G. C. Greubel_, Jun 02 2018: (Start) %F A158965 a(n) = 5^n * Hermite(n, 3/5). %F A158965 E.g.f.: exp(6*x - 25*x^2). %F A158965 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(6/5)^(n-2*k)/(k!*(n-2*k)!)). (End) %t A158965 Numerator[Table[HermiteH[n,3/5],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 01 2011*) %t A158965 Table[5^n*HermiteH[n, 3/5], {n,0,30}] (* _G. C. Greubel_, Jul 13 2018 *) %o A158965 (PARI) a(n)=numerator(polhermite(n,3/5)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A158965 (PARI) x='x+O('x^30); Vec(serlaplace(exp(6*x - 25*x^2))) \\ _G. C. Greubel_, Jul 13 2018 %o A158965 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(6/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 13 2018 %Y A158965 Cf. A158960, A158961. %K A158965 sign,frac %O A158965 0,2 %A A158965 _N. J. A. Sloane_, Nov 12 2009