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A111090
Successive generations of an alternating Kolakoski rule.
2
1, 2, 11, 21, 112, 2122, 1121122, 2122121122, 1121122122121122, 212212112212211211212211, 112112212212112212211212212112112212
OFFSET
1,2
COMMENTS
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.
FORMULA
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.
EXAMPLE
1-->2-->11-->21-->112-->2122
CROSSREFS
Cf. A111081.
Sequence in context: A113721 A127199 A085652 * A111081 A218340 A018491
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 12 2005
STATUS
approved