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

Terms

a(0) =1a(1) =18a(2) =126a(3) =560a(4) =1890a(5) =5292a(6) =12936a(7) =28512a(8) =57915a(9) =110110a(10) =198198a(11) =340704a(12) =563108a(13) =899640a(14) =1395360a(15) =2108544a(16) =3113397a(17) =4503114a(18) =6393310a(19) =8925840a(20) =12273030a(21) =16642340a(22) =22281480a(23) =29484000a(24) =38595375a(25) =50019606a(26) =64226358a(27) =81758656a(28) =103241160a(29) =129389040