a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ] and s = A023532.

Terms

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