Trajectory of 3 under map n->23n+1 if n odd, n->n/2 if n even.

Terms

a(0) =3a(1) =70a(2) =35a(3) =806a(4) =403a(5) =9270a(6) =4635a(7) =106606a(8) =53303a(9) =1225970a(10) =612985a(11) =14098656a(12) =7049328a(13) =3524664a(14) =1762332a(15) =881166a(16) =440583a(17) =10133410a(18) =5066705a(19) =116534216a(20) =58267108a(21) =29133554a(22) =14566777a(23) =335035872