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Search: id:A119719
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| A119719 |
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Continued fraction expansion of the value (mod 1) where ?(x)-x attains its global maximum. |
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+0
1
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OFFSET
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0,3
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COMMENT
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?(x) is Minkowski's question mark function. Note ?(x)-x is odd and has period 1. Finding the maximum of ?(x)-x difficult; fractal local maxima abound. Given that this continued fraction expansion represents the real a, we note the global minimum of ?(x)-x occurs (symmetrically across x=1/2) at 1-a (mod 1). We expect even entries will remain near (if not at) 1 and odd entries will grow very slowly (perhaps not monotonically).
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LINKS
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Index entries for Minkowski's question mark function
Index entries for sequences related to Minkowski's question mark function
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EXAMPLE
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a = [0;1,3,1,4,..?..]
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CROSSREFS
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Sequence in context: A128777 A067009 A110790 this_sequence A125162 A123730 A143317
Adjacent sequences: A119716 A119717 A119718 this_sequence A119720 A119721 A119722
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KEYWORD
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cofr,hard,more,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 13 2006
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