A recursive formula for the Kolakoski sequence A000002
Journal of integer sequences, Tome 9 (2006) no. 3.

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Summary: We present a recursive formula for the $n$th term of the Kolakoski sequence. Using this formula, it is easy to find recursions for the number of ones in the first $n$ terms and for the sum of the first $n$ terms of the Kolakoski sequence.
Classification : 11B83, 11B85, 11Y55, 40A05
Keywords: kolakoski sequence, recursion, recursive formula
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     author = {Steinsky, Bertran},
     title = {A recursive formula for the {Kolakoski} sequence {A000002}},
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     url = {http://geodesic.mathdoc.fr/item/JIS_2006__9_3_a5/}
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Steinsky, Bertran. A recursive formula for the Kolakoski sequence A000002. Journal of integer sequences, Tome 9 (2006) no. 3. http://geodesic.mathdoc.fr/item/JIS_2006__9_3_a5/