A096669 Rectangular array T(n,k) read by antidiagonals; generating function of row n is 1/F(n,x), where F(n,x) is the polynomial 1 - x - x^2 - 2*x^3 -...- F(n+1)*x^n and F(n+1) is the (n+1)st Fibonacci number, for n=0,1,2,...

1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 5, 2, 1, 1, 1, 8, 9, 5, 2, 1, 1, 1, 13, 18, 12, 5, 2, 1, 1, 1, 21, 37, 24, 12, 5, 2, 1, 1, 1, 34, 73, 52, 29, 12, 5, 2, 1, 1, 1, 55, 146, 115, 62, 29, 12, 5, 2, 1, 1, 1, 89, 293, 251, 140, 70, 29, 12, 5, 2, 1, 1, 1, 144, 585, 542, 321, 156, 70

Offset

1,8

Links

Table of n, a(n) for n=1..85.

Example

Rows begin:
1 1 1 1 1 ... = A000012, with g.f. 1/(1-x)
1 1 2 3 5 ... = A000045, with g.f. 1/(1-x-x^2)
1 1 2 5 9 ... = A077947, with g.f. 1/(1-x-x^2-2*x^3)

Crossrefs

Cf. A000045, A096670. Rows converge to A000129.

Sequence in context: A333893 A225630 A129713 * A096591 A316074 A332954

Adjacent sequences: A096666 A096667 A096668 * A096670 A096671 A096672

Keyword

nonn,tabl

Author

Clark Kimberling, Jul 03 2004

Status

approved