a(n) = binomial(2*n,n) mod ((n+1)*(n+2)*(n+3)).

Terms

a(0) =2a(1) =6a(2) =20a(3) =70a(4) =252a(5) =420a(6) =552a(7) =0a(8) =1100a(9) =1144a(10) =0a(11) =1456a(12) =1400a(13) =2040a(14) =2448a(15) =0a(16) =3420a(17) =0a(18) =0a(19) =0a(20) =6072a(21) =5520a(22) =0a(23) =5850a(24) =13104a(25) =0a(26) =12992a(27) =17980a(28) =22320a(29) =27280