a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).

Terms

a(0) =1a(1) =0a(2) =0a(3) =2a(4) =0a(5) =2a(6) =3a(7) =2a(8) =6a(9) =4a(10) =9a(11) =14a(12) =11a(13) =26a(14) =29a(15) =34a(16) =62a(17) =68a(18) =99a(19) =140a(20) =169a(21) =252a(22) =322a(23) =430a(24) =607a(25) =764a(26) =1059a(27) =1424a(28) =1845a(29) =2546