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Triangular array: T(n,k)=integer nearest F(n)/F(n-k), k=1,2,...,n-2; n>=3, where F=A000045 (Fibonacci numbers).
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%I #2 Mar 30 2012 18:57:11

%S 2,2,3,2,3,5,2,3,4,8,2,3,4,7,13,2,3,4,7,11,21,2,3,4,7,11,17,34,2,3,4,

%T 7,11,18,28,55,2,3,4,7,11,18,30,45,89,2,3,4,7,11,18,29,48,72,144,2,3,

%U 4,7,11,18,29,47,78,117,233,2,3,4,7,11,18,29,47,75,126,189,377,2,3,4,7,11

%N Triangular array: T(n,k)=integer nearest F(n)/F(n-k), k=1,2,...,n-2; n>=3, where F=A000045 (Fibonacci numbers).

%C Combinatorial limit of row n is A080023, which is essentially A000032.

%e The first 6 rows:

%e 2

%e 2 3

%e 2 3 5

%e 2 3 4 8

%e 2 3 4 7 13

%e 2 3 4 7 11 21

%Y Cf. A000032, A000045, A080023, A169613, A169615, A169616.

%K nonn,tabl

%O 1,1

%A _Clark Kimberling_, Dec 03 2009