a(n) = 5*binomial(6*n+10,n)/(3*n+5).

Terms

a(0) =1a(1) =10a(2) =105a(3) =1170a(4) =13640a(5) =164502a(6) =2036265a(7) =25727800a(8) =330482295a(9) =4303216330a(10) =56672074888a(11) =753573733050