Trajectory of 3 under map n->29n+1 if n odd, n->n/2 if n even.

Terms

a(0) =3a(1) =88a(2) =44a(3) =22a(4) =11a(5) =320a(6) =160a(7) =80a(8) =40a(9) =20a(10) =10a(11) =5a(12) =146a(13) =73a(14) =2118a(15) =1059a(16) =30712a(17) =15356a(18) =7678a(19) =3839a(20) =111332a(21) =55666a(22) =27833a(23) =807158a(24) =403579a(25) =11703792a(26) =5851896a(27) =2925948a(28) =1462974a(29) =731487