id:A143790 - OEIS Search Results

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

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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; listen)

	OFFSET	`1,2`
	COMMENT	`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) = kth 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 this_sequence A135611 A011089 A100954` `Adjacent sequences: A143787 A143788 A143789 this_sequence A143791 A143792 A143793`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Sep 01 2008`

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Last modified December 5 20:25 EST 2009. Contains 170428 sequences.

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