a(n) = 6*(n+1)*binomial(n+2,12).

Terms

a(0) =66a(1) =936a(2) =7098a(3) =38220a(4) =163800a(5) =594048a(6) =1893528a(7) =5441904a(8) =14360580a(9) =35271600a(10) =81477396a(11) =178474296a(12) =373173528a(13) =748843200a(14) =1448655000a(15) =2711882160a(16) =4928324310a(17) =8718517080a(18) =15049821150a(19) =25401694500a(20) =41997468240a(21) =68124925440a(22) =108574099920a(23) =170228167200a(24) =262852317000