A085693 Let f(0) = 1, f(1) = 12, f(2) = 223, f(3) = 3334, = f(4) = 44445, f(5) = 555556, etc. Sequence gives concatenation of 0, f(0), f(f(0)), f(f(f(0))), ...

0, 1, 1, 2, 1, 2, 2, 2, 3, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3

Offset: 0

Author

Philippe Deléham, Aug 14 2003; revised Sep 18 2005

Keywords

• nonn
• base
• easy

Examples

			0;
1;
1, 2;
1, 2, 2, 2, 3;
1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4; ...
For large m, the m-th block is given by A085694.
		

Crossrefs

Cf. A085694, A000110, A048993 (the number of occurrences of k in n-th block).

Row maxima of A120698.

Extensions

Edited by Charles R Greathouse IV, Apr 30 2010