A169614 Triangular array: T(n,k)=integer nearest F(n)/F(n-k), k=1,2,...,n-2; n>=3, where F=A000045 (Fibonacci numbers).

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, 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, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..83.

Example

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

Crossrefs

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

Sequence in context: A291048 A022467 A306894 * A037126 A080092 A164738

Adjacent sequences: A169611 A169612 A169613 * A169615 A169616 A169617

Keyword

nonn,tabl

Author

Clark Kimberling, Dec 03 2009

Status

approved