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A111090
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Successive generations of an alternating Kolakoski rule.
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2
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1, 2, 11, 21, 112, 2122, 1121122, 2122121122, 1121122122121122, 212212112212211211212211, 112112212212112212211212212112112212
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OFFSET
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1,2
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COMMENTS
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Strings are obtained using the Kolakoski substitution and the additional rule : start with 1 if previous string begins with 2, start with 2 if previous string begins with 1.
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LINKS
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FORMULA
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As n grows a(2n-1) converges toward A025142 (red as a word) and a(2n) converges toward A025143. Conjecture : a(n) is asymptotic to c*(3/2)^n for some c.
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EXAMPLE
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1-->2-->11-->21-->112-->2122
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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