Record indices of A135727(n) = max{ A001281^k(n);k=0,1,2,3... } (3x-1 problem).

Terms

a(0) =0a(1) =1a(2) =3a(3) =5a(4) =9a(5) =17a(6) =33a(7) =65a(8) =129a(9) =153a(10) =321a(11) =1425a(12) =1601a(13) =1889a(14) =3393a(15) =4097a(16) =6929a(17) =8193a(18) =10497a(19) =11025a(20) =18273a(21) =28161a(22) =74585a(23) =85265a(24) =149345a(25) =337761a(26) =558341a(27) =839429a(28) =1022105a(29) =1467393