A169616 Triangular array: T(n,k)=integer nearest F(n+k)/F(k), k=1,2,...,n-2; n>=3, where F=A000045 (Fibonacci numbers).

2, 3, 2, 5, 3, 2, 8, 4, 3, 2, 13, 7, 4, 3, 2, 21, 11, 7, 4, 3, 2, 34, 17, 11, 7, 4, 3, 2, 55, 28, 18, 11, 7, 4, 3, 2, 89, 45, 30, 18, 11, 7, 4, 3, 2, 144, 72, 48, 29, 18, 11, 7, 4, 3, 2, 233, 117, 78, 47, 29, 18, 11, 7, 4, 3, 2, 377, 189, 126, 75, 47, 29, 18, 11, 7, 4, 3, 2, 610, 305, 203, 122, 76, 47, 29, 18, 11, 7, 4, 3, 2

Offset: 1

Author

Clark Kimberling, Dec 03 2009

Keywords

• nonn
• tabl

Comments

Reversing the rows gives A169614.

Examples

			The first 6 rows:
2
3 2
5 3 2
8 4 3 2
13 7 4 3 2
21 11 7 4 3 2
		

Crossrefs

Cf. A000045, A169613, A169614, A169615.

Extensions

a(28) = 78 corrected and more terms from Georg Fischer, Aug 03 2023