3rd term of continued fraction for sqrt(2)^sqrt(2)^...^sqrt(2) with n sqrt(2)'s.

Terms

a(0) =2a(1) =1a(2) =3a(3) =5a(4) =8a(5) =12a(6) =19a(7) =28a(8) =41a(9) =60a(10) =87a(11) =127a(12) =183a(13) =266a(14) =384a(15) =555a(16) =802a(17) =1158a(18) =1671a(19) =2412a(20) =3480a(21) =5022a(22) =7246a(23) =10455a(24) =15084a(25) =21763a(26) =31398a(27) =45298a(28) =65353a(29) =94285