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 A096669 #3 Mar 30 2012 18:57:05 %S A096669 1,1,1,1,1,1,1,2,1,1,1,3,2,1,1,1,5,5,2,1,1,1,8,9,5,2,1,1,1,13,18,12,5, %T A096669 2,1,1,1,21,37,24,12,5,2,1,1,1,34,73,52,29,12,5,2,1,1,1,55,146,115,62, %U A096669 29,12,5,2,1,1,1,89,293,251,140,70,29,12,5,2,1,1,1,144,585,542,321,156,70 %N A096669 Rectangular array T(n,k) read by antidiagonals; generating function of row n is 1/F(n,x), where F(n,x) is the polynomial 1 - x - x^2 - 2*x^3 -...- F(n+1)*x^n and F(n+1) is the (n+1)st Fibonacci number, for n=0,1,2,... %e A096669 Rows begin: %e A096669 1 1 1 1 1 ... = A000012, with g.f. 1/(1-x) %e A096669 1 1 2 3 5 ... = A000045, with g.f. 1/(1-x-x^2) %e A096669 1 1 2 5 9 ... = A077947, with g.f. 1/(1-x-x^2-2*x^3) %Y A096669 Cf. A000045, A096670. Rows converge to A000129. %K A096669 nonn,tabl %O A096669 1,8 %A A096669 _Clark Kimberling_, Jul 03 2004