a(n) = 13*(n+1)*binomial(n+2,13)/2.

Terms

a(0) =78a(1) =1183a(2) =9555a(3) =54600a(4) =247520a(5) =946764a(6) =3174444a(7) =9573720a(8) =26453700a(9) =67897830a(10) =163601438a(11) =373173528a(12) =811246800a(13) =1690097500a(14) =3389852700a(15) =6571099080a(16) =12351232530a(17) =22574731725a(18) =40219349625a(19) =69995780400a(20) =119218619520a(21) =199052516520a(22) =326270653800a(23) =525704634000