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 A113327 #12 Sep 07 2024 21:09:59
%S A113327 1,2,8,36,176,928,5296,33024,227776,1757504,15269888,149327616,
%T A113327 1632715520,19758502912,261836047360,3763432774656,58208166178816,
%U A113327 962637398577152,16934963591229440,315578267054112768
%N A113327 a(n) = Sum_{k=0..n} 2^k*A111146(n,k).
%F A113327 G.f.: A(x) = 1/(1 - 2*x*Sum_{k>=0} (k+1)!*x^k ).
%e A113327 A(x) = (1 + 2*x + 8*x^2 + 36*x^3 + 176*x^4 + 928*x^5 +..) =
%e A113327 1/(1 - 2/1!*x*(1! + 2!*x + 3!*x^2 + 4!*x^3 + 5!*x^4 +..) ).
%o A113327 (PARI) {a(n)=local(y=2,x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0,n,(y-1+k)!*x^k)),n,X)}
%Y A113327 Cf. A111146, A113326, A113328 (y=3), A113329 (y=4), A113330 (y=5), A113331 (y=6).
%K A113327 nonn
%O A113327 0,2
%A A113327 _Philippe Deléham_ and _Paul D. Hanna_, Oct 26 2005