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A161590 Initial value x of a RATS trajectory x->A036839(x) ending in a cycle unreachable by any smaller initial value. 4
1, 3, 9, 29, 69, 2079, 3999, 6999, 10677, 20169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This is one way of book-keeping of new "destinies" (the smallest element of the cycle that the trajectory ends up in).

The value 1 is a placeholder for all non-cyclic 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 A242558 A018361

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

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Last modified June 24 15:07 EDT 2017. Contains 288697 sequences.