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Search: id:A058840
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| A058840 |
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From Renyi's "beta expansion of 1 in base 3/2": sequence gives y(0), y(1), ... |
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+0
3
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| 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Let r be a real number strictly between 1 and 2, x any real number between 0 and 1; define y = (y(i)) by x(0) = x; x(i+1) = r*x(i)-1 if r*x(i)>1 and r*x(i) otherwise; y(i) = integer part of x(i+1): y = (y(i)) is an infinite word on the alphabet (0,1). Here we take r = 3/2 and x = 1.
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REFERENCES
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A. Renyi (1957), Representation for real numbers and their ergodic properties, Acta. Math. Acad. Sci. Hung., 8, 477-493.
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CROSSREFS
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Cf. A058841, A058842.
Adjacent sequences: A058837 A058838 A058839 this_sequence A058841 A058842 A058843
Sequence in context: A134668 A092444 A039963 this_sequence A036987 A143259 A113430
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KEYWORD
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nonn,nice,easy
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AUTHOR
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Claude Lenormand (claude.lenormand(AT)free.fr), Jan 05 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Feb 22 2001
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