a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026725.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =15a(7) =28a(8) =43a(9) =71a(10) =130a(11) =201a(12) =331a(13) =597a(14) =928a(15) =1525a(16) =2720a(17) =4245a(18) =6965a(19) =12315a(20) =19280a(21) =31595a(22) =55472a(23) =87067a(24) =142539a(25) =248802a(26) =391341a(27) =640143a(28) =1111864a(29) =1752007