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 A300485 #9 Mar 08 2018 12:53:58
%S A300485 2,0,-1,2,7,34,218,1574,12879,117938,1195479,13294412,160967522,
%T A300485 2108289364,29703846535,447990339602,7201792686815,122938198060734,
%U A300485 2220989581865882,42336203570931402,849191837620701239,17879821236086808098
%N A300485 a(n) = 2 * Integral_{t>=0} T_n((t-1)/2) * exp(-t) * dt, n>=0, where T_n(x) is n-th Chebyshev polynomial of first kind.
%C A300485 For any integer n>=0, 2 * Integral_{t=-1..1} T_n(t/2)*exp(-t)*dt = 4 * Integral_{z=-1/2..1/2} T_n(z)*exp(-2*z)*dz = a(n)*exp(1) - A300483(n)*exp(-1).
%F A300485 a(n) = Sum_{i=0..n} A127672(n,i) * A000166(i).
%F A300485 a(n) = A300481(1,n) = A300480(-1,n).
%o A300485 (PARI) { A300485(n) = if(n==0, return(2)); subst( serlaplace( 2*polchebyshev(n, 1, (x-1)/2)), x, 1); }
%Y A300485 Row m=1 in A300481.
%Y A300485 Cf. A102761, A300482, A300483, A300484.
%K A300485 sign
%O A300485 0,1
%A A300485 _Max Alekseyev_, Mar 06 2018