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A228249
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Decimal expansion of the infinite Fibonacci word, interpreted as a binary expansion.
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1
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2, 9, 0, 1, 9, 6, 5, 5, 7, 1, 3, 8, 7, 0, 8, 6, 8, 5, 3, 5, 8, 2, 1, 2, 6, 0, 0, 5, 5, 5, 4, 2, 4, 4, 0, 2, 9, 8, 7, 4, 9, 7, 7, 9, 4, 2, 3, 2, 1, 3, 9, 4, 8, 3, 0, 4, 2, 9, 9, 7, 3, 5, 5, 3, 4, 8, 7, 1, 2, 8, 7, 1, 8, 5, 1, 5, 3, 4, 0, 3, 7, 5, 2, 1, 6, 8, 3, 8, 6, 7, 5, 4, 0, 0, 0, 6, 1, 1, 6, 0, 7, 3, 4, 6, 0
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OFFSET
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0,1
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COMMENTS
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That is to say, take A003849 (the morphism 0 -> 01 and 1 -> 0 starting from a single 0) and interpret it as a decimal fraction with the decimal point at the very beginning.
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LINKS
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FORMULA
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EXAMPLE
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0.290196557138708685358212600555424402987497794232139483042997355348712...
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MATHEMATICA
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RealDigits[ FromDigits[{Nest[Flatten[#/.{0 -> {0, 1}, 1 -> {0}}]&, {0}, 12], 0}, 2], 10, 111][[1]]
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PROG
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(PARI) c()=my(o=0, c=.25, L=default(realprecision)*2136\643, k=2, F); while((F=fibonacci(k++))<=L, [o, c]=[c, c+o>>F]); c \\ Charles R Greathouse IV, Feb 28 2014
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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