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%I #4 Mar 30 2012 18:57:05
%S 1,1,1,2,3,2,3,4,2,1,5,7,4,4,1,8,11,6,5,5,3,13,18,10,9,6,3,1,21,29,16,
%T 14,11,6,6,2,34,47,26,23,17,9,7,5,1,55,76,42,37,28,15,13,7,7,2,89,123,
%U 68,60,45,24,20,12,8,6,4,144,199,110,97,73,39,33,19,15,8,4,1,253,322
%N Rectangular array T(n,k) by antidiagonals; rows are generalized Fibonacci sequences and every pair (i,j) satisfying 1 <= i < j occurs exactly once.
%C In every row, the limiting ratio of consecutive terms is tau.
%F Recurrence for row n: T(n, k)=T(n, k-1)+T(n, k-2). Each row after the first begins with lexically least pair not in previous rows.
%e Northwest corner:
%e 1 1 2 3 5
%e 1 3 4 7 11
%e 2 2 4 6 10
%e 1 4 5 9 14
%e 1 5 6 11 17
%Y Cf. A000045, A097351.
%K nonn,tabl
%O 1,4
%A _Clark Kimberling_, Aug 08 2004
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