A072146 Numbers n with property that n sets a new record for the length of the preperiodic part of the 'Reverse and Subtract' trajectory of n.

0, 1, 10, 13, 1011, 1013, 1028, 100103, 100107, 100184, 100368, 100484, 113008, 150703, 10000235, 10000434, 10001104, 10001285, 10001777, 10001788, 10002395, 10002494, 10109075, 1000002787, 1000011068, 1000011159, 1000012729, 1001050344

Offset: 1

Author

Klaus Brockhaus, Jun 24 2002

Keywords

• base
• nonn

Comments

A072147 gives the corresponding records. Since for small n the last term of the preperiodic part is a palindrome (cf. A072137), this sequence is a weak analog of A065198, which uses 'Reverse and Add'.

Examples

			The preperiodic part of the trajectory of 13 has length 6: 13 -> 18 -> 63 -> 27 -> 45 -> 9; for k < 13 the preperiodic part has a smaller length (at most 2).
		

Links

• Alexander Pesch, May 29 2007, Table of n, a(n) for n = 1..44

Crossrefs

Cf. A072137, A072147, A065198.

Extensions

a(19) = 10001777 inserted by Alexander Pesch, May 29 2007

Edited by N. J. A. Sloane, Dec 01 2007