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A111090 Successive generations of an alternating Kolakoski rule. 2
1, 2, 11, 21, 112, 2122, 1121122, 2122121122, 1121122122121122, 212212112212211211212211, 112112212212112212211212212112112212 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=1..11.

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

Adjacent sequences:  A111087 A111088 A111089 * A111091 A111092 A111093

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 12 2005

STATUS

approved

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Last modified March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)