%I #3 Mar 30 2012 18:57:05
%S 1,1,1,1,1,1,1,1,2,1,1,1,2,3,1,1,1,2,5,5,1,1,1,2,5,9,8,1,1,1,2,5,12,
%T 18,13,1,1,1,2,5,12,24,37,21,1,1,1,2,5,12,29,52,73,34,1,1,1,2,5,12,29,
%U 62,115,146,55,1,1,1,2,5,12,29,70,140,251,293,89,1,1,1,2,5,12,29,70,156
%N Rectangular array T(n,k) read by antidiagonals; generating function of column 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,...
%C Transpose of the array in A096669.
%e Rows
%e 1 1 1 1 1
%e 1 1 1 1 1
%e 1 2 2 2 2
%e 1 3 5 5 5
%e 1 5 9 12 12
%e Column 0 has g.f. 1/(1-x)
%e Column 1 has g.f. 1/(1-x-x^2)
%e Column 2 has g.g. 1/(1-x-x^2-2*x^3).
%Y Cf. A000045, A096669, A000129.
%K nonn,tabl
%O 1,9
%A _Clark Kimberling_, Jul 03 2004