A161596 Numbers in cycles of RATS sequences.

78, 111, 117, 156, 222, 288, 444, 888, 1223, 1677, 3489, 4444, 8888, 11119, 11127, 11667, 11999, 12333, 16777, 23388, 27888, 34589, 44556, 111177, 112333, 228888, 444455, 889999, 1111113, 1177777, 1788899, 2222244, 4446666, 4558889, 11144445, 13444447, 55556688

Offset: 1

Author

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

Keywords

• nonn
• base

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.

See Branicky link for larger terms. - Michael S. Branicky, Dec 30 2022

Examples

			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).
		

Links

• Michael S. Branicky, RATS Sequence Cycles.

Crossrefs

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

Extensions

Descriptive comment and examples added by R. J. Mathar, Jul 08 2009

a(20) and beyond from Michael S. Branicky, Dec 30 2022