Trajectory of 3 under map n->43n+1 if n odd, n->n/2 if n even.

Terms

a(0) =3a(1) =130a(2) =65a(3) =2796a(4) =1398a(5) =699a(6) =30058a(7) =15029a(8) =646248a(9) =323124a(10) =161562a(11) =80781a(12) =3473584a(13) =1736792a(14) =868396a(15) =434198a(16) =217099a(17) =9335258a(18) =4667629a(19) =200708048a(20) =100354024a(21) =50177012a(22) =25088506a(23) =12544253a(24) =539402880