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A161593 Lengths of new periods in the RATS sequence (0 replacing infinity). 3
0, 8, 2, 18, 2, 2, 2, 14 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Tanya Khovanova, Destinies of Numbers [From Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 10 2009]

EXAMPLE

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 .

CROSSREFS

Cf. A004000, A036839, A066711, A066710.

A161590, A161592, A161596 [From Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 10 2009]

Sequence in context: A196170 A164587 A050096 * A008866 A180728 A006708

Adjacent sequences:  A161590 A161591 A161592 * A161594 A161595 A161596

KEYWORD

more,nonn,base

AUTHOR

John H. Conway & Tanya Khovanova (tanyakh(AT)yahoo.com), Jun 14 2009

EXTENSIONS

Comment and examples added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009

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Last modified February 12 16:45 EST 2012. Contains 205432 sequences.