id:A062366 - OEIS Search Results

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Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/nextoddColl(p) (so the denominator is the next odd number in the Collatz trajectory of p). Start with f(n/1) and repeat application of f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0.

+0
5

0, 1, 3, 3, 4, 2, 2, 7, 1, 3, 9, 9, 7, 2, 5, 15, 3, 5, 15, 15, 20, 10, 3, 3, 2, 7, 21, 16, 3, 1, 11, 31, 7, 9, 27, 16, 3, 15, 2, 11, 3, 9, 33, 33, 25, 6, 17, 25, 9, 2, 39, 11, 3, 8, 9, 21, 2, 15, 45, 2, 19, 3, 23, 63, 15, 17, 51, 11, 3, 4, 5, 1, 5, 15, 57, 9, 3, 3, 29, 9, 15, 16, 63, 63, 84 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Is a(n)<=n for all n?`
	EXAMPLE	`For n=15 we get 15/1 -> 14/23 -> 9/7 -> 2/7 -> 5/1 so a(15)=5.`
	CROSSREFS	`Sequence in context: A117032 A078911 A082899 this_sequence A057937 A080216 A082924` `Adjacent sequences: A062363 A062364 A062365 this_sequence A062367 A062368 A062369`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Jul 11 2001`

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.

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