A050411 - OEIS

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A050411

Analogue of 3x+1 function

4, 1, 7, 9, 2, 12, 3, 15, 17, 4, 20, 22, 5, 25, 6, 28, 30, 7, 33, 8, 36, 38, 9, 41, 43, 10, 46, 11, 49, 51, 12, 54, 56, 13, 59, 14, 62, 64, 15, 67, 16, 70, 72, 17, 75, 77, 18, 80, 19, 83, 85, 20, 88, 21, 91, 93, 22, 96, 98, 23, 101, 24, 104, 106, 25, 109, 111, 26, 114, 27, 117, 119, 28, 122, 29, 125 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Iterates diverge for all n except n>2 in A005248.`
	FORMULA	`f([phi n]) = [phi^2 n]+2; f([phi^2 n]) = n. phi = (1+sqrt(5))/2.`
	CROSSREFS	`K. S. Stolarsky, A prelude to the 3x+1 problem, J. Differ. Equations Appl. 4 (1998), no. 5, 451-461.` `Sequence in context: A156558 A082455 A078975 * A010643 A108906 A193842` `Adjacent sequences: A050408 A050409 A050410 * A050412 A050413 A050414`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.