a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = floor((n+1)/2), s = A023533.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =0a(6) =1a(7) =0a(8) =0a(9) =1a(10) =0a(11) =0a(12) =1a(13) =0a(14) =0a(15) =0a(16) =0a(17) =0a(18) =1a(19) =1a(20) =0a(21) =0a(22) =1a(23) =0a(24) =0a(25) =0a(26) =0a(27) =0a(28) =1a(29) =0