a(n) = binomial(2*n,n) mod ((n+1)*(n+2)).

Terms

a(0) =2a(1) =6a(2) =0a(3) =10a(4) =0a(5) =28a(6) =48a(7) =0a(8) =0a(9) =88a(10) =0a(11) =0a(12) =140a(13) =120a(14) =0a(15) =0a(16) =0a(17) =0a(18) =0a(19) =0a(20) =0a(21) =0a(22) =0a(23) =0a(24) =468a(25) =0a(26) =0a(27) =580a(28) =0a(29) =496