a(n) = (n^2+n^3)*(binomial(2*n,n))/2.

Terms

a(0) =0a(1) =2a(2) =36a(3) =360a(4) =2800a(5) =18900a(6) =116424a(7) =672672a(8) =3706560a(9) =19691100a(10) =101615800a(11) =512143632a(12) =2531090016a(13) =12303909800a(14) =58971402000a(15) =279211536000