Trajectory of 1 under map n->13n+1 if n odd, n->n/2 if n even.

Terms

a(0) =1a(1) =14a(2) =7a(3) =92a(4) =46a(5) =23a(6) =300a(7) =150a(8) =75a(9) =976a(10) =488a(11) =244a(12) =122a(13) =61a(14) =794a(15) =397a(16) =5162a(17) =2581a(18) =33554a(19) =16777a(20) =218102a(21) =109051a(22) =1417664a(23) =708832a(24) =354416a(25) =177208a(26) =88604a(27) =44302a(28) =22151a(29) =287964