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

1,2

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

Links

Table of n, a(n) for n=1..46.

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.

Example

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

Crossrefs

Cf. A000032.

Sequence in context: A260355 A075419 A060922 * A226572 A251633 A135611

Adjacent sequences: A143787 A143788 A143789 * A143791 A143792 A143793

Keyword

nonn,tabl

Author

Clark Kimberling, Sep 01 2008

Status

approved