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A161593 Lengths of new periods in the RATS sequence (0 replacing infinity). 6
0, 8, 2, 18, 2, 2, 2, 14 (list; graph; refs; listen; history; text; internal format)



The values A114611(j) for those starting values j of the RATS mapping x->A036839(x)

which end in cycles that cannot be reached starting from any smaller j.


Table of n, a(n) for n=1..8.

Tanya Khovanova, Destinies of Numbers [From Tanya Khovanova, Aug 10 2009]


a(1)=A114611(0). a(2)=A114611(j=3)=8 with a cycle of length 8 shown in A066710.

A114611(j=6)=8 does not contribute because the cycle is the same as reached from j=3.

a(3)=A114611(9)=2 with a new cycle of length 2 shown in A066711.

A114611(j=12)=8 does not contribute because the cycle is the same as reached from j=3.

A114611(j=15)=8 does not contribute because 15->66->123 is the cycle as reached from j=3.

A114611(j=18)=2 does not contribute because the cycle is the same as reached from j=9.

A114611(j=21)=8 does not contribute because 21->33->66 reaches the same cycle as started from j=3.

a(4)=A114611(j=29)=18 .


Cf. A004000, A036839, A066711, A066710.

A161590, A161592, A161596 [From Tanya Khovanova, Aug 10 2009]

Sequence in context: A196170 A164587 A050096 * A008866 A180728 A248297

Adjacent sequences:  A161590 A161591 A161592 * A161594 A161595 A161596




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


Comment and examples added by R. J. Mathar, Jul 07 2009



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Last modified May 29 14:18 EDT 2017. Contains 287247 sequences.