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Parse the Fibonacci word A003849 into distinct phrases 0, 1, 00, 10, 100, 1001, 01, 001, 010, ...; a(n) = length of n-th phrase.
7

%I #8 Mar 30 2012 16:52:01

%S 1,1,2,2,3,4,2,3,3,4,3,4,4,5,5,4,5,5,6,6,5,5,6,6,7,7,7,8,7,6,8,9,6,6,

%T 10,7,8,8,7,8,7,11,7,9,8,9,8,10,9,8,9,8,9,9,9,12,10,10,9,10,9,11,10,

%U 13,12,10,10,11,11,11,10,11,11,14,11,12,12,11,13,10,12,12,11,12,13,12,13,14,13,11,13,14,15,14,13,16,15,12,12,17

%N Parse the Fibonacci word A003849 into distinct phrases 0, 1, 00, 10, 100, 1001, 01, 001, 010, ...; a(n) = length of n-th phrase.

%Y Cf. A003849, A109337, A187180-A187880, A187199, A187201.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Mar 06 2011