A096670 Rectangular array T(n,k) read by antidiagonals; generating function of column 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, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 5, 9, 8, 1, 1, 1, 2, 5, 12, 18, 13, 1, 1, 1, 2, 5, 12, 24, 37, 21, 1, 1, 1, 2, 5, 12, 29, 52, 73, 34, 1, 1, 1, 2, 5, 12, 29, 62, 115, 146, 55, 1, 1, 1, 2, 5, 12, 29, 70, 140, 251, 293, 89, 1, 1, 1, 2, 5, 12, 29, 70, 156

Offset: 1

Author

Clark Kimberling, Jul 03 2004

Keywords

• nonn
• tabl

Comments

Transpose of the array in A096669.

Examples

			Rows
1 1 1 1 1
1 1 1 1 1
1 2 2 2 2
1 3 5 5 5
1 5 9 12 12
Column 0 has g.f. 1/(1-x)
Column 1 has g.f. 1/(1-x-x^2)
Column 2 has g.g. 1/(1-x-x^2-2*x^3).
		

Crossrefs

Cf. A000045, A096669, A000129.