login
Triangular array: T(n,k)=floor(F(n+k)/F(k)), k=1,2,...,n-2; n>=3, where F=A000045 (Fibonacci numbers).
3

%I #2 Mar 30 2012 18:57:11

%S 2,3,1,5,2,1,8,4,2,1,13,6,4,2,1,21,10,7,4,2,1,34,17,11,6,4,2,1,55,27,

%T 18,11,6,4,2,1,89,44,29,17,11,6,4,2,1,144,72,48,28,18,11,6,4,2,1,233,

%U 116,77,46,29,17,11,6,4,2,1,377,188,125,75,47,29,17,11,6,4,2,1,610,305,203

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

%C Reversing the rows gives A169613.

%e The first 6 rows:

%e 2

%e 3 1

%e 5 2 1

%e 8 4 2 1

%e 13 6 4 2 1

%e 21 10 7 4 2 1

%Y Cf. A000045, A169613, A169614, A169616.

%K nonn,tabl

%O 1,1

%A _Clark Kimberling_, Dec 03 2009