a(n) = a(n-2) + A000265(a(n-1)), a(0)=0, a(1)=1.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =5a(7) =8a(8) =6a(9) =11a(10) =17a(11) =28a(12) =24a(13) =31a(14) =55a(15) =86a(16) =98a(17) =135a(18) =233a(19) =368a(20) =256a(21) =369a(22) =625a(23) =994a(24) =1122a(25) =1555a(26) =2677a(27) =4232a(28) =3206a(29) =5835