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 A160148 #13 Sep 08 2022 08:45:44 %S A160148 1,40,142,-110960,-5059508,444738400,54673349320,-1703637550400, %T A160148 -626141705175920,-5174439819171200,8009253862551574240, %U A160148 395813487065579065600,-112619873964978985037120,-11429947728298530733222400,1677399182000270453064676480 %N A160148 Numerator of Hermite(n, 20/27). %H A160148 G. C. Greubel, <a href="/A160148/b160148.txt">Table of n, a(n) for n = 0..376</a> %F A160148 From _G. C. Greubel_, Sep 24 2018: (Start) %F A160148 a(n) = 27^n * Hermite(n, 20/27). %F A160148 E.g.f.: exp(40*x - 729*x^2). %F A160148 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(40/27)^(n-2*k)/(k!*(n-2*k)!)). (End) %e A160148 Numerators of 1, 40/27, 142/729, -110960/19683, -5059508/531441, ... %t A160148 Table[27^n*HermiteH[n, 20/27], {n, 0, 30}] (* _G. C. Greubel_, Sep 24 2018 *) %o A160148 (PARI) a(n)=numerator(polhermite(n, 20/27)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A160148 (PARI) x='x+O('x^30); Vec(serlaplace(exp(40*x - 729*x^2))) \\ _G. C. Greubel_, Sep 24 2018 %o A160148 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(40/27)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Sep 24 2018 %Y A160148 Cf. A009971 (denominators). %K A160148 sign,frac %O A160148 0,2 %A A160148 _N. J. A. Sloane_, Nov 12 2009