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

0,4

Links

Table of n, a(n) for n=0..89.

Example

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.

Sequence in context: A362746 A131840 A179752 * A067995 A135551 A065531

Adjacent sequences: A085690 A085691 A085692 * A085694 A085695 A085696

Keyword

nonn,base,easy

Author

Philippe Deléham, Aug 14 2003; revised Sep 18 2005

Extensions

Edited by Charles R Greathouse IV, Apr 30 2010

Status

approved