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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. 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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'.

LINKS

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

EXAMPLE

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).

CROSSREFS

Cf. A072137, A072147, A065198.

Sequence in context: A075828 A153584 A053612 * A074674 A241041 A164936

Adjacent sequences:  A072143 A072144 A072145 * A072147 A072148 A072149

KEYWORD

base,nonn

AUTHOR

Klaus Brockhaus, Jun 24 2002

EXTENSIONS

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

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

STATUS

approved

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Last modified December 10 00:54 EST 2019. Contains 329885 sequences. (Running on oeis4.)