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A057227
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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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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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).
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LINKS
| Michael Gilleland, Some Self-Similar Integer Sequences
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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.
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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 * A162663 A005007 A188792
Adjacent sequences: A057224 A057225 A057226 * A057228 A057229 A057230
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Nov 23 2000
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