Trajectory of 1 under map n->45n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =46a(2) =23a(3) =1036a(4) =518a(5) =259a(6) =11656a(7) =5828a(8) =2914a(9) =1457a(10) =65566a(11) =32783a(12) =1475236a(13) =737618a(14) =368809a(15) =16596406a(16) =8298203a(17) =373419136a(18) =186709568a(19) =93354784a(20) =46677392a(21) =23338696a(22) =11669348a(23) =5834674a(24) =2917337a(25) =131280166