Trajectory of 1 under map n->27n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =28a(2) =14a(3) =7a(4) =190a(5) =95a(6) =2566a(7) =1283a(8) =34642a(9) =17321a(10) =467668a(11) =233834a(12) =116917a(13) =3156760a(14) =1578380a(15) =789190a(16) =394595a(17) =10654066a(18) =5327033a(19) =143829892a(20) =71914946a(21) =35957473a(22) =970851772a(23) =485425886a(24) =242712943a(25) =6553249462