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Length of row n of A143589 (a Kolakoski fan).
3

%I #2 Mar 30 2012 18:57:10

%S 1,1,2,2,3,4,7,10,16,24,36,54,80,120,180,269,404,605,908,1361,2041,

%T 3063,4591,6890,10333,15509,23259,34901,52344,78516,117762,176636,

%U 264944,397405,596099,894193,1341290,2011935,3017927,4526825

%N Length of row n of A143589 (a Kolakoski fan).

%C Conjecture (following Benoit Cloitre's conjecture at A111090):

%C if L=A143489, then L(n)*(2/3)^n approaches a constant.

%e The first 6 rows of A143589 are 1; 2; 1,1; 2,1; 1,1,2; 2,1,2,2. Their

%e lengths are 1,1,2,2,3,4.

%Y Cf. A000002, A111090, A143477, A143586, A143489.

%K nonn

%O 1,3

%A _Clark Kimberling_, Aug 25 2008