A085694 Let f(0) = 1, f(1) = 12, f(2) = 223, f(3) = 3334, f(4) = 44445, f(5) = 555556, etc. Sequence gives limiting value of f(0), f(f(0)), f(f(f(0))), ...

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, 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, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4

Offset: 1

Author

Philippe Deléham, Aug 14 2003

Keywords

• nonn
• easy

Comments

The positions where 1, 2, 3, 4, 5, ... appear are 1, 2, 5, 15, 52, ... (Bell numbers A000110).

Crossrefs

Cf. A085693, A000110, A048993 (the number of occurrences of k in n-th block).

Extensions

Extended by Philippe Deléham, Jun 10 2005