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

Terms

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