Trajectory of 1 under map n->9n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =10a(2) =5a(3) =46a(4) =23a(5) =208a(6) =104a(7) =52a(8) =26a(9) =13a(10) =118a(11) =59a(12) =532a(13) =266a(14) =133a(15) =1198a(16) =599a(17) =5392a(18) =2696a(19) =1348a(20) =674a(21) =337a(22) =3034a(23) =1517a(24) =13654a(25) =6827a(26) =61444a(27) =30722a(28) =15361a(29) =138250