Search: id:A096669
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%I A096669
%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,
               2,
%T A096669 1,1,1,21,37,24,12,5,2,1,1,1,34,73,52,29,12,5,2,1,1,1,55,146,115,62,29,
%U A096669 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.
%Y A096669 Sequence in context: A054123 A119269 A129713 this_sequence A096591 A115568 
               A072909
%Y A096669 Adjacent sequences: A096666 A096667 A096668 this_sequence A096670 A096671 
               A096672
%K A096669 nonn,tabl
%O A096669 1,8
%A A096669 Clark Kimberling (ck6(AT)evansville.edu), Jul 03 2004

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