3x+2

[y.kohmoto]

    Hello, seqfans.

%S A000001 3, 11, 7, 23, 71, 43, 131, 79, 239, 719, 127, 383, 1151, 691, 83,
251, 151, 13, 41,
%T A000001 5, 17, 53, 23, 71, 43, 131, 79, 239, 719, 127,
%N A000001 a(n) is the greatest prime factor of 3*a(n-1)+2 .

    I conjectured as follows :
    "for all number m, if a(1)=m then the sequence becomes cyclic."

    Is there any counter example?

    Yasutoshi

    http://boat.zero.ad.jp/~zbi74583/another02.htm