Trajectory of 3 under map n->11n+1 if n odd, n->n/2 if n even.

Terms

a(0) =3a(1) =34a(2) =17a(3) =188a(4) =94a(5) =47a(6) =518a(7) =259a(8) =2850a(9) =1425a(10) =15676a(11) =7838a(12) =3919a(13) =43110a(14) =21555a(15) =237106a(16) =118553a(17) =1304084a(18) =652042a(19) =326021a(20) =3586232a(21) =1793116a(22) =896558a(23) =448279a(24) =4931070a(25) =2465535a(26) =27120886a(27) =13560443a(28) =149164874