a(n) = (Sum_{i=0..n-1} 1/b(i)) * LCM{b(i): i=0..n-1}, where b(i) = C(i,floor(i/2)).

Terms

a(0) =1a(1) =2a(2) =5a(3) =17a(4) =18a(5) =93a(6) =189a(7) =1335a(8) =1341a(9) =4033a(10) =4038a(11) =44448a(12) =44463a(13) =578124a(14) =1156353a(15) =1156409a(16) =1156437a(17) =19659681a(18) =19659807a(19) =373537593a(20) =373538223a(21) =373538553a(22) =373538718a(23) =8591392494a(24) =8591393484a(25) =42956969994a(26) =42956971281a(27) =128870915845a(28) =128870916846