Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026386.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =10a(5) =17a(6) =31a(7) =53a(8) =92a(9) =163a(10) =282a(11) =492a(12) =863a(13) =1501a(14) =2621a(15) =4582a(16) =7987a(17) =13946a(18) =24354a(19) =42489a(20) =74179a(21) =129497a(22) =226000a(23) =394523a(24) =688670a(25) =1202020a(26) =2098239a(27) =3662553a(28) =6392969a(29) =11159290