A162151 Numbers n such that m=TITO(n)>n and TITO(m)=n, where TITO() = A161594().

12, 18, 24, 27, 36, 45, 48, 132, 144, 156, 198, 264, 276, 288, 291, 297, 372, 375, 396, 405, 492, 495, 528, 576, 1089, 1212, 1236, 1287, 1356, 1359, 1452, 1572, 1584, 1629, 1683, 1728, 1812, 1818, 2002, 2067, 2079, 2178, 2304, 2424, 2532, 2676, 2721, 2727

Offset

1,1

Comments

Or, numbers that end in two-cycles under TITO operation.

Links

Table of n, a(n) for n=1..48.

Zak Seidov, 141 pairs {n,m} for n<30000

T. Khovanova, Turning Numbers Inside Out [From Tanya Khovanova, Jul 07 2009]

Formula

m=A161594(n)>n, and A161594(m)=n.

Example

For smaller n's, m is a reversal of n, but for larger n's, there are other cases as well:{12,21},{18,81},{24,42},{27,72},...,{291,732},...,{372,651}, etc.

Crossrefs

Cf. A161594, A161597, A161598, A161600, A161730, A161732.

Sequence in context: A107794 A280014 A359929 * A056773 A297925 A341099

Adjacent sequences: A162148 A162149 A162150 * A162152 A162153 A162154

Keyword

nonn,base

Author

Zak Seidov, Jun 26 2009

Status

approved