Trajectory of 3 under map n->17n+1 if n odd, n->n/2 if n even.

Terms

a(0) =3a(1) =52a(2) =26a(3) =13a(4) =222a(5) =111a(6) =1888a(7) =944a(8) =472a(9) =236a(10) =118a(11) =59a(12) =1004a(13) =502a(14) =251a(15) =4268a(16) =2134a(17) =1067a(18) =18140a(19) =9070a(20) =4535a(21) =77096a(22) =38548a(23) =19274a(24) =9637a(25) =163830a(26) =81915a(27) =1392556a(28) =696278a(29) =348139