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 A128571 #8 Mar 19 2016 06:31:22
%S A128571 1,2,12,114,1440,22368,409248,8585088,202733760,5317663680,
%T A128571 153345634560,4821848409600,164211751261440,6022162697840640,
%U A128571 236652023784960000,9921992082873223680,442138176056374548480,20869300232695599552000,1040210006521640127367680,54600929159270409876879360
%N A128571 Row 1 of table A128570.
%H A128571 Paul D. Hanna, <a href="/A128571/b128571.txt">Table of n, a(n) for n = 0..200</a>
%F A128571 G.f.: A(x) = 1 + 2x*R(x,2)^2, where R(x,2) = 1 + 3*x*R(x,3)^2, R(x,3) = 1 + 4*x*R(x,4)^2, ..., R(x,n) = 1 + (n+1)*x*R(x,n+1)^2, ... and R(x,n) is the g.f. of row n of table A128570.
%F A128571 a(n) ~ 4*n*A128318(n)/3. - _Vaclav Kotesovec_, Mar 19 2016
%o A128571 (PARI) {a(n)=local(A=1+(n+2)*x);for(j=0,n,A=1+(n+2-j)*x*A^2 +x*O(x^n)); polcoeff(A,n)}
%o A128571 for(n=0,25,print1(a(n),", "))
%Y A128571 Cf. A128570 (triangle), other rows: A128318, A128572, A128573, A128574, A128575, A128576; A128577 (square of row 0), A128578 (main diagonal), A128579 (antidiagonal sums).
%Y A128571 Cf. A268652.
%K A128571 nonn
%O A128571 0,2
%A A128571 _Paul D. Hanna_, Mar 11 2007