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 A081444 #14 Sep 08 2022 08:45:09
%S A081444 1,2,5,14,45,162,641,2718,12249,58370,294493,1571374,8858053,52542882,
%T A081444 326804185,2122860862,14366452913,101063123202,738075208501,
%U A081444 5587492946510,43795838894941,354876969914786,2968890716640945
%N A081444 Second binomial transform of expansion of cosh(sinh(x)).
%C A081444 Second binomial transform of A003709 (viewed as unsigned, with periodic zeros added).
%C A081444 Binomial transform of A081443.
%H A081444 Vincenzo Librandi, <a href="/A081444/b081444.txt">Table of n, a(n) for n = 0..200</a>
%F A081444 E.g.f.: exp(2*x) * cosh(sinh(x)).
%p A081444 seq(coeff(series(exp(2*x)*cosh(sinh(x)), x, n+1)*factorial(n), x, n), n = 0 .. 30); # _G. C. Greubel_, Aug 14 2019
%t A081444 With[{nn = 30}, CoefficientList[Series[Exp[2x]Cosh[Sinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* _Vincenzo Librandi_, Aug 08 2013 *)
%o A081444 (PARI) my(x='x+O('x^30)); Vec(serlaplace( exp(2*x)*cosh(sinh(x)) )) \\ _G. C. Greubel_, Aug 14 2019
%o A081444 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Exp(2*x)*Cosh(Sinh(x)) )); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Aug 14 2019
%o A081444 (Sage) [factorial(n)*( exp(2*x)*cosh(sinh(x)) ).series(x,n+1).list()[n] for n in (0..30)] # _G. C. Greubel_, Aug 14 2019
%K A081444 easy,nonn
%O A081444 0,2
%A A081444 _Paul Barry_, Mar 22 2003