Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =20a(2) =10a(3) =5a(4) =96a(5) =48a(6) =24a(7) =12a(8) =6a(9) =3a(10) =58a(11) =29a(12) =552a(13) =276a(14) =138a(15) =69a(16) =1312a(17) =656a(18) =328a(19) =164a(20) =82a(21) =41a(22) =780a(23) =390a(24) =195a(25) =3706a(26) =1853a(27) =35208a(28) =17604a(29) =8802