a(n) = 5*binomial(4*n+10,n)/(2*n+5).

Terms

a(0) =1a(1) =10a(2) =85a(3) =700a(4) =5750a(5) =47502a(6) =395560a(7) =3321120a(8) =28102425a(9) =239503550a(10) =2054455634a(11) =17726454200a(12) =153757722300