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A161596 Numbers in cycles of RATS sequences. 3
78, 111, 117, 156, 222, 288, 444, 888, 1223, 1677, 3489, 4444, 8888, 11119, 11127, 11667, 11999, 12333, 16777 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The set of all numbers in any cycle of RATS sequences, sorted into natural order.

This implies that for any value a(j) in this sequence, A036839(a(j)) is again member of the sequence.

EXAMPLE

The numbers 111, 222, 444, 888, 1677, 3489, 12333 and 44556 are in the sequence because they

are in the cycle shown in A066710. The numbers 117 and 288 are in the cycle demonstrated in A066711.

The numbers 4444, 8888, 16777, 34589, 112333, 444455, ..., 1112278888, 11999, 1119, 1223 are in the

cycle started at A161590(4). The numbers 11127 and 23388 are in the cycle started at A161590(7).

CROSSREFS

A004000, A036839, A066711, A066710, A161590, A161592.

Sequence in context: A025387 A025378 A157355 * A185077 A042945 A044329

Adjacent sequences:  A161593 A161594 A161595 * A161597 A161598 A161599

KEYWORD

nonn,base,more

AUTHOR

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

EXTENSIONS

Descriptive comment and examples added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2009

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.