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 A067299 #9 Jul 21 2016 12:32:35 %S A067299 2,5,32,284,2960,33872,411776,5221568,68299520,914858240,12486496256, %T A067299 173031701504,2428066058240,34432752275456,492697174507520, %U A067299 7104716644990976,103142445617709056,1506248913346691072 %N A067299 Second column of triangle A067298. %F A067299 a(n)=A067298(n+1, 1). %F A067299 G.f.: ((1+x)*c(2, 2; x)-1)/x, with c(2, 2; x) := (1-3*x*c(4*x))/(1-2*x*c(4*x))^2 g.f. for A064340 and c(x) is g.f. for A000108 (Catalan). %F A067299 G.f.: (2+x + 12*x*(1+x)*c(4*x))/(1+2*x)^2, where c(x) is g.f. for A000108 (Catalan). - _Wolfdieter Lang_, May 05 2006. %F A067299 Conjecture: n*(17*n-7)*a(n) +2*(-119*n^2+270*n-96)*a(n-1) -16*(17*n+10)*(2*n-3)*a(n-2)=0. - _R. J. Mathar_, Jul 21 2016 %Y A067299 Cf. A064340 (first column), A067300 (third column). %K A067299 nonn,easy %O A067299 0,1 %A A067299 _Wolfdieter Lang_, Feb 05 2002