id:A086567 - OEIS Search Results

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Length of cycle produced by the function f: (x; y; z) ->(x-y-z; y; 2*y + z) if y + = z <x and (x; y; z) ->(y + z -x; x; 2*x -z) if y +z >x when started at (n,1,1).

+0
2

1, 0, 3, 5, 4, 0, 5, 10, 7, 11, 6, 0, 7, 16, 11, 9, 10, 21, 8, 0, 9, 21, 12, 27, 11, 14, 17, 23, 10, 0, 11, 32, 18, 27, 18, 13, 15, 28, 19, 32, 12, 0, 13, 38, 25, 19, 18, 47, 15, 44, 16, 38, 18, 50, 14, 0, 15, 39, 20, 59, 18, 54, 28, 17, 24, 31, 21, 28, 29, 49, 16, 0, 17 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(k^2 + k) = 0, a(k^2 + k - 1) = 2k, a(k^2 + k + 1) = a(k^2) = 2k + 1`
	EXAMPLE	`a(5) = 4 because (5; 1; 1) -> (3; 1; 3) -> (1; 3; 3) -> (5; 1; = -1) -> (5; 1; 1) : length of cycle =4.`
	CROSSREFS	`Cf. A087855.` `Adjacent sequences: A086564 A086565 A086566 this_sequence A086568 A086569 A086570` `Sequence in context: A080349 A065974 A096822 this_sequence A016611 A073006 A134892`
	KEYWORD	`nonn`
	AUTHOR	`DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Sep 24 2003`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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