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Define sequence S_m by: initial term = m, reverse digits and add 3 to get next term. Entry shows S_3. This reaches a cycle of length 6 in 3 steps.
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%I #8 Jul 18 2015 11:21:31

%S 3,6,9,12,24,45,57,78,90,12,24,45,57,78,90,12,24,45,57,78,90,12,24,45,

%T 57,78,90,12,24,45,57,78,90,12,24,45,57,78,90,12,24,45,57,78,90,12,24,

%U 45,57,78,90,12,24,45,57,78,90,12,24,45,57,78,90,12,24,45,57,78,90

%N Define sequence S_m by: initial term = m, reverse digits and add 3 to get next term. Entry shows S_3. This reaches a cycle of length 6 in 3 steps.

%H N. J. A. Sloane and others, <a href="/wiki/Sequences_of_RADD_type">Sequences of RADD type</a>, OEIS wiki.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1).

%t Join[{3,6,9},LinearRecurrence[{0,0,0,0,0,1},{12,24,45,57,78,90},66]] (* _Ray Chandler_, Jul 18 2015 *)

%Y Cf. A117831, A118517 on.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, May 06 2006