A109337 Parse the Thue-Morse sequence (A010060) using the Ziv-Lempel encoding as described in A106182; sequence gives lengths of successive phrases.

1, 1, 2, 3, 2, 2, 3, 4, 2, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 7, 5, 7, 6, 5, 4, 7, 6, 7, 5, 7, 5, 6, 7, 6, 6, 8, 5, 8, 4, 6, 7, 5, 8, 5, 6, 7, 6, 9, 7, 8, 6, 5, 8, 6, 7, 7, 7, 6, 8, 8, 8, 9, 7, 10, 6, 9, 9, 7, 8, 10, 8, 8, 9, 8, 9, 8, 9, 7, 9, 8, 7, 10, 9, 10, 8, 9, 7, 8, 9, 8, 9, 11, 9, 11

Offset: 1

Author

N. J. A. Sloane, Aug 24 2005

Keywords

• nonn
• easy

Examples

			The parsing into phrases gives 0, 1, 10, 100, 11, 00, 101, 1010, 01, 011, 001, 10100, ... with lengths 1,1,2,3,2,2,3,4,2,3,3,5,...
		

Crossrefs

Cf. A010060, A106182, A187180-A187188, A187199, A187200.

Extensions

Terms a(13)-a(102) from John W. Layman, Sep 16 2010