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Smallest member of smallest set S(n) of positive integers containing n which satisfies "k is in S, iff 2k-1 is in S, iff 4k is in S".

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1, 2, 2, 1, 2, 6, 1, 2, 2, 10, 6, 2, 1, 14, 2, 1, 2, 18, 10, 2, 6, 22, 2, 6, 1, 26, 14, 1, 2, 30, 1, 2, 2, 34, 18, 2, 10, 38, 2, 10, 6, 42, 22, 6, 2, 46, 6, 2, 1, 50, 26, 1, 14, 54, 1, 14, 2, 58, 30, 2, 1, 62, 2, 1, 2, 66, 34, 2, 18, 70, 2, 18, 10, 74, 38, 10, 2, 78, 10, 2, 6, 82, 42, 6, 22 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Ratio of number of times 2 appears to number of times 1 appears tends towards (1+sqrt(5))/2. Ratio of number of times 2 appears to number of times 4m+2 appears tends towards ((1+sqrt(5))/2)^log2(2m+1).`
	LINKS	`Michael Gilleland, Some Self-Similar Integer Sequences`
	EXAMPLE	`a(23)=2 since if 23 is in S(23) then so are 12, 3 and 2; however 1 need not be and so the smallest member of S(23) is 2.`
	CROSSREFS	`All values of a(n) are 1 or of form 4m+2, i.e. A016825. a(n)=1 iff n is in A048297.` `Sequence in context: A125678 A091562 A106585 this_sequence A162663 A005007 A014243` `Adjacent sequences: A057224 A057225 A057226 this_sequence A057228 A057229 A057230`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Nov 23 2000`

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.

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