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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

%I #13 Jul 11 2015 00:37:13

%S 0,1,10,13,1011,1013,1028,100103,100107,100184,100368,100484,113008,

%T 150703,10000235,10000434,10001104,10001285,10001777,10001788,

%U 10002395,10002494,10109075,1000002787,1000011068,1000011159,1000012729,1001050344

%N 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.

%C 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'.

%H Alexander Pesch, May 29 2007, <a href="/A072146/b072146.txt">Table of n, a(n) for n = 1..44</a>

%e 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).

%Y Cf. A072137, A072147, A065198.

%K base,nonn

%O 1,3

%A _Klaus Brockhaus_, Jun 24 2002

%E a(19) = 10001777 inserted by _Alexander Pesch_, May 29 2007

%E Edited by _N. J. A. Sloane_, Dec 01 2007

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)