a(n) = n^2*(n^6 + 28*n^4 + 154*n^2 + 132)/315.

Terms

a(0) =0a(1) =1a(2) =16a(3) =129a(4) =704a(5) =2945a(6) =10128a(7) =29953a(8) =78592a(9) =187137a(10) =411280a(11) =845185a(12) =1640640a(13) =3032705a(14) =5373200a(15) =9173505a(16) =15158272a(17) =24331777a(18) =38058768a(19) =58161793a(20) =87037120a(21) =127791489a(22) =184402064a(23) =261902081a(24) =366594816a(25) =506298625a(26) =690625936a(27) =931299201a(28) =1242506944a(29) =1641303169