Longest word T from 2 equal length strings S using no breakpoint reuse.

Terms

a(0) =2a(1) =4a(2) =7a(3) =14a(4) =19a(5) =34a(6) =63a(7) =76a(8) =137a(9) =248a(10) =282a(11) =502a(12) =891a(13) =980a(14) =1718a(15) =3000a(16) =3233a(17) =5594a(18) =9646a(19) =10256a(20) =17565a(21) =30000a(22) =31597a(23) =53690a(24) =91033a(25) =95214a(26) =160803a(27) =271108a(28) =282054a(29) =474060