A308781 Number of steps until the 'summarize the previous term' sequence enters a cycle.

10, 12, 11, 12, 8, 10, 10, 10, 10, 10, 9, 11, 10, 11, 7, 9, 9, 9, 9, 9, 6, 10, 0, 9, 6, 6, 6, 6, 6, 6, 8, 11, 9, 10, 6, 8, 8, 8, 8, 8, 9, 7, 6, 6, 7, 8, 9, 9, 9, 9, 10, 9, 6, 8, 8, 7, 9, 10, 10, 10, 12, 9, 6, 8, 9, 9, 7, 10, 12, 12, 13, 9, 6, 8, 9, 10, 10, 7, 12, 13, 14, 9, 6, 8, 9, 10, 12, 12, 7, 13, 14, 9, 6, 8, 9, 10, 12, 13, 13, 7, 6

Offset

0,1

Comments

The corresponding lengths of the cycle are given by A036225.

Is this a duplicate of A103618? - R. J. Mathar, May 05 2023

Links

Table of n, a(n) for n=0..100.

Example

a(0) = 10, as shown by the 'summarize the previous term' sequence starting with 0: 0 -> 10 -> 1011 -> 1031 -> 102113 -> 10311213 -> 10411223 -> 1031221314 -> 1041222314 -> 1031321324 -> 1031223314 -> 1031223314 (see also A037220).

Crossrefs

Cf. A036225, A037220.

Sequence in context: A078285 A303151 A103618 * A317180 A187285 A098732

Adjacent sequences: A308778 A308779 A308780 * A308782 A308783 A308784

Keyword

nonn,base

Author

A.H.M. Smeets, Jun 24 2019

Status

approved