A143790 Integer Quotients of Lucas Numbers; a rectangular array by downward antidiagonals.

1, 3, 1, 4, 6, 1, 7, 41, 19, 1, 11, 281, 341, 46, 1, 18, 1926, 6119, 2161, 124, 1, 29, 13201, 109801, 101521, 15251, 321, 1, 47, 90481, 1970299, 4769326, 1875749, 103361, 844, 1, 76, 620166, 35355581, 224056801, 230701876, 33281921, 711491, 2206, 1, 123

Offset: 1

Author

Clark Kimberling, Sep 01 2008

Keywords

• nonn
• tabl

Comments

Every integer-valued quotient of Lucas numbers (excluding L(0)=2) is in this array.

(Row 1) = A000032 except for a(0)

(Row 2) = A049685

(Row 3) = A049629

(Column 2) = A110391 except for initial terms

Examples

			Q(3,2)=L(9)/L(3)=76/4=19.
		

Crossrefs

Cf. A000032.

Formula

Row 1: L(k)/L(1), where L(k)=A000032(k) = k-th Lucas number, for k>=1;

Row n: L(2nk-n)/L(n) for n>=2, k>=1.