Trajectory of 1 under map n->33n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =34a(2) =17a(3) =562a(4) =281a(5) =9274a(6) =4637a(7) =153022a(8) =76511a(9) =2524864a(10) =1262432a(11) =631216a(12) =315608a(13) =157804a(14) =78902a(15) =39451a(16) =1301884a(17) =650942a(18) =325471a(19) =10740544a(20) =5370272a(21) =2685136a(22) =1342568a(23) =671284a(24) =335642a(25) =167821