T(n,[ n/2 ]), T given by A026692.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =8a(5) =15a(6) =30a(7) =54a(8) =138a(9) =281a(10) =562a(11) =1069a(12) =2700a(13) =5682a(14) =11364a(15) =22196a(16) =55756a(17) =119437a(18) =238874a(19) =473871a(20) =1186616a(21) =2570259a(22) =5140518a(23) =10302254a(24) =25745026a(25) =56189736a(26) =112379472a(27) =226854572a(28) =566088616a(29) =1242353004