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A143790
Integer Quotients of Lucas Numbers; a rectangular array by downward antidiagonals.
0
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
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
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 01 2008
STATUS
approved