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 A064878 #6 Mar 31 2012 13:20:06 %S A064878 1,1,20,2300,464000,116250000,32580600000,9779307000000, %T A064878 3074524280000000,999451946900000000,333207298730000000000, %U A064878 113305219025110000000000,39145823948711200000000000 %N A064878 Generalized Catalan numbers C(10,10; n). %C A064878 See triangle A064879 with columns m built from C(m,m; n), m >= 0, also for Derrida et al. and Liggett references. %F A064878 a(n)= ((10^(2*(n-1)))/(n-1))*sum((m+1)*(m+2)*binomial(2*(n-2)-m, n-2-m)*((1/10)^(m+1)), m=0..n-2), n >= 2, a(0) := 1=: a(1). %F A064878 G.f.:(1-19*x*c(100*x))/(1-10*x*c(100*x))^2 = c(100*x)*(19+81*c(100*x))/(1+9*c(100*x))^2 = (19*c(100*x)*(10*x)^2+9*(9+29*x))/(9+10*x)^2 with c(x)= A(x) g.f. of Catalan numbers A000108. %Y A064878 A064347. %K A064878 nonn,easy %O A064878 0,3 %A A064878 _Wolfdieter Lang_, Oct 12 2001