

A161590


Initial value x of a RATS trajectory x>A036839(x) ending in a cycle unreachable by any smaller initial value.


4




OFFSET

1,2


COMMENTS

This is one way of bookkeeping of new "destinies" (the smallest element of the cycle that the trajectory ends up in).
The value 1 is a placeholder for all noncyclic trajectories.


LINKS

Table of n, a(n) for n=1..10.
Tanya Khovanova, Destinies of Numbers [From Tanya Khovanova, Aug 10 2009]


EXAMPLE

The RATS (Reverse Add Then Sort) algorithm applied to 69 produces a sequence 69, 156, 78, 156, 78, ...
Its cycle {156, 78} appears not if the algorithm is started with any number in the range 0 to 68, so 69 is added to the sequence.


CROSSREFS

Cf. A036839, A066710, A066711, A004000, A114611, A161592, A161593, A161596.
Sequence in context: A058145 A218915 A258064 * A192245 A338645 A242558
Adjacent sequences: A161587 A161588 A161589 * A161591 A161592 A161593


KEYWORD

nonn,base,more


AUTHOR

J. H. Conway & Tanya Khovanova, Jun 14 2009, Jul 04 2009


EXTENSIONS

10677, 20169 from Wouter Meeussen, Jul 04 2009
Definition rephrased by R. J. Mathar, Jul 08 2009


STATUS

approved



