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 A160263 #16 Sep 08 2022 08:45:45 %S A160263 1,28,-898,-119336,1189900,836209808,13406815624,-8063638544864, %T A160263 -383633726413168,97762575920121280,8544799476205933024, %U A160263 -1405112141642673804928,-197439019874757039348032,22832490910422530976921856,4956511354073268289737879680 %N A160263 Numerator of Hermite(n, 14/29). %H A160263 G. C. Greubel, <a href="/A160263/b160263.txt">Table of n, a(n) for n = 0..372</a> %F A160263 From _G. C. Greubel_, Sep 26 2018: (Start) %F A160263 a(n) = 29^n * Hermite(n, 14/29). %F A160263 E.g.f.: exp(28*x - 841*x^2). %F A160263 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/29)^(n-2*k)/(k!*(n-2*k)!)). (End) %e A160263 Numerators of 1, 28/29, -898/841, -119336/24389, 1189900/707281, ... %p A160263 seq(coeff(series(factorial(n)*exp(28*x-841*x^2),x,n+1), x, n), n = 0..15); # _Muniru A Asiru_, Sep 28 2018 %t A160263 Table[29^n*HermiteH[n, 14/29], {n, 0, 30}] (* _G. C. Greubel_, Sep 26 2018 *) %o A160263 (PARI) a(n)=numerator(polhermite(n, 14/29)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A160263 (PARI) x='x+O('x^30); Vec(serlaplace(exp(28*x - 841*x^2))) \\ _G. C. Greubel_, Sep 26 2018 %o A160263 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/29)^(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 A160263 Cf. A009973 (denominators). %K A160263 sign,frac %O A160263 0,2 %A A160263 _N. J. A. Sloane_, Nov 12 2009