Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026703.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =12a(6) =22a(7) =39a(8) =66a(9) =118a(10) =208a(11) =350a(12) =619a(13) =1085a(14) =1820a(15) =3198a(16) =5582a(17) =9344a(18) =16347a(19) =28443a(20) =47542a(21) =82910a(22) =143909a(23) =240276a(24) =418024a(25) =724191a(26) =1208106a(27) =2097918a(28) =3628929a(29) =6049752