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 A160344 #15 Sep 08 2022 08:45:45 %S A160344 1,52,782,-159224,-12788660,559103792,151972419784,1454980899424, %T A160344 -1968977929003888,-124758638617745600,27571931007786483424, %U A160344 3831601446637967570048,-383682490141447518907712,-108323545252613355018788096,3953866345538313246451111040 %N A160344 Numerator of Hermite(n, 26/31). %H A160344 Harvey P. Dale, <a href="/A160344/b160344.txt">Table of n, a(n) for n = 0..369</a> %F A160344 From _G. C. Greubel_, Jul 12 2018: (Start) %F A160344 a(n) = 31^n * Hermite(n, 26/31). %F A160344 E.g.f.: exp(52*x - 961*x^2). %F A160344 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(52/31)^(n-2*k)/(k!*(n-2*k)!)). (End) %e A160344 Numerators of 1, 52/31, 782/961, -159224/29791, -12788660/923521, ... %t A160344 Numerator[HermiteH[Range[0,20],26/31]] (* _Harvey P. Dale_, Jan 26 2016 *) %t A160344 Table[31^n*HermiteH[n, 26/31], {n,0,30}] (* _G. C. Greubel_, Jul 12 2018 *) %o A160344 (PARI) a(n)=numerator(polhermite(n,26/31)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A160344 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(52/31)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 12 2018 %Y A160344 Cf. A009975 (denominators). %K A160344 sign,frac %O A160344 0,2 %A A160344 _N. J. A. Sloane_, Nov 12 2009