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Search: id:A161593
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| A161593 |
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Lengths of new periods in the RATS sequence (0 replacing infinity). |
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+0
4
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Tanya Khovanova, Destinies of Numbers [From Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 10 2009]
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EXAMPLE
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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 .
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CROSSREFS
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Cf. A004000, A036839, A066711, A066710.
A161590, A161592, A161596 [From Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 10 2009]
Sequence in context: A040063 A164587 A050096 this_sequence A008866 A006708 A096041
Adjacent sequences: A161590 A161591 A161592 this_sequence A161594 A161595 A161596
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KEYWORD
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more,nonn,base
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AUTHOR
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John H. Conway & Tanya Khovanova (tanyakh(AT)yahoo.com), Jun 14 2009
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EXTENSIONS
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Comment and examples added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009
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