a(n) = binomial(2n+4,n)*binomial(n+4,4).

Terms

a(0) =1a(1) =30a(2) =420a(3) =4200a(4) =34650a(5) =252252a(6) =1681680a(7) =10501920a(8) =62355150a(9) =355655300a(10) =1963217256a(11) =10546208400a(12) =55367594100a(13) =285028443000