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

Terms

a(0) =1a(1) =44a(2) =22a(3) =11a(4) =474a(5) =237a(6) =10192a(7) =5096a(8) =2548a(9) =1274a(10) =637a(11) =27392a(12) =13696a(13) =6848a(14) =3424a(15) =1712a(16) =856a(17) =428a(18) =214a(19) =107a(20) =4602a(21) =2301a(22) =98944a(23) =49472a(24) =24736a(25) =12368a(26) =6184a(27) =3092a(28) =1546a(29) =773