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A118270
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Decimal expansion of Kolakoski constant.
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2
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7, 9, 4, 5, 0, 7, 1, 9, 2, 7, 7, 9, 4, 7, 9, 2, 7, 6, 2, 4, 0, 3, 6, 2, 4, 1, 5, 6, 3, 6, 0, 4, 5, 6, 4, 6, 2, 9, 8, 5, 7, 7, 1, 0, 0, 9, 8, 8, 6, 0, 6, 9, 6, 7, 2, 6, 5, 8, 8, 6, 7, 3, 7, 1, 5, 3, 8, 1, 4, 7, 7, 5, 0, 2, 4, 6, 0, 5, 0, 1, 5, 3, 6, 4, 2, 3, 2, 9, 4, 9, 7, 3, 1, 8, 7, 4, 4, 9, 2, 2, 5, 9, 7, 6, 5
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OFFSET
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0,1
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LINKS
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FORMULA
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Take the Kolakoski sequence (A000002) 1221121221.... Interpret the 2's as 1's and the 1's as 0's: 0110010110.... Interpret the result as a binary fraction: 0.110010110..._2.
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EXAMPLE
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0.7945071927794792762...
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MATHEMATICA
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A000002[n_] := (s = {1, 2, 2}; Do[AppendTo[s, Mod[k-1, 2] + 1], {k, 3, n}, {s[[k]]}] ; s); Take[ First[ RealDigits[ FromDigits[ {Rest[A000002[300] /. {1 -> 0, 2 -> 1}], 0}, 2]]], 105] (* Jean-François Alcover, Jul 28 2011 *)
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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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