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%I #6 Mar 30 2012 18:39:12
%S 1,2,4,5,7,8,9,10,12,13,14,16,17,19,20,21,23,24,26,27,28,29,31,32,33,
%T 34,36,37,39,40,41,43,44,45,46,48,49,50,52,53,55,56,57,58,60,61,62,63,
%U 65,66,67,69,70,72,73,74,76,77,79,80,81,83,84,85,86,88,89,90,92,93,95,96
%N a(1)=1, a(n) is the smallest integer > a(n-1) such that a(n) is even if k(n)=1, a(n) is odd if k(n)=2, where k(n) denotes the n-th term of the Kolakoski sequence (A000002).
%F a(n) is conjectured to be asymptotic to 4/3*n.
%e Kolakoski sequence begins: 1,2,2,1,1,2,1, ....from the rule, a(2) > a(1)=1 and even, so a(2)=2. a(3)>a(2)=2 and even, so a(3)=4. a(4)>a(3)=4 and odd so a(4)=5...
%Y Cf. A000002.
%K nonn
%O 1,2
%A _Benoit Cloitre_, Feb 17 2003
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