Ranks of {2,3}-power towers with neither consecutive 2's nor consecutive 3's; see Comments.

Terms

a(0) =1a(1) =2a(2) =4a(3) =5a(4) =10a(5) =11a(6) =22a(7) =23a(8) =45a(9) =48a(10) =92a(11) =97a(12) =185a(13) =196a(14) =372a(15) =393a(16) =745a(17) =788a(18) =1492a(19) =1577a(20) =2985a(21) =3156a(22) =5972a(23) =6313a(24) =11945a(25) =12628a(26) =23892a(27) =25257a(28) =47785a(29) =50516