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A143790 Integer Quotients of Lucas Numbers; a rectangular array by 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 (list; table; graph; refs; listen; history; internal format)
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: A108285 A075419 A060922 * A135611 A199372 A011089

Adjacent sequences:  A143787 A143788 A143789 * A143791 A143792 A143793

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Sep 01 2008

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.