a(0) = a(1) = 1; a(n) = Sum_{k=0..n-2} lcm(a(k), a(n-k-2)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =6a(6) =11a(7) =22a(8) =42a(9) =90a(10) =165a(11) =364a(12) =710a(13) =1586a(14) =2885a(15) =6288a(16) =12546a(17) =28686a(18) =55406a(19) =130284a(20) =261016a(21) =555716a(22) =1149559a(23) =2552096a(24) =5429610a(25) =11510594a(26) =23650462a(27) =54063580a(28) =109053128a(29) =262968892