Trajectory of 1 under map n->41n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =42a(2) =21a(3) =862a(4) =431a(5) =17672a(6) =8836a(7) =4418a(8) =2209a(9) =90570a(10) =45285a(11) =1856686a(12) =928343a(13) =38062064a(14) =19031032a(15) =9515516a(16) =4757758a(17) =2378879a(18) =97534040a(19) =48767020a(20) =24383510a(21) =12191755a(22) =499861956a(23) =249930978a(24) =124965489