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Search: id:A111090
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| A111090 |
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Successive generations of an alternating Kolakoski rule. |
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+0
3
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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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COMMENT
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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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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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Cf. A111081.
Sequence in context: A113721 A127199 A085652 this_sequence A111081 A018491 A031010
Adjacent sequences: A111087 A111088 A111089 this_sequence A111091 A111092 A111093
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 12 2005
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