a(n) = 42*(n+1)*binomial(n+6,10).

Terms

a(0) =210a(1) =2772a(2) =19404a(3) =96096a(4) =378378a(5) =1261260a(6) =3699696a(7) =9801792a(8) =23891868a(9) =54318264a(10) =116396280a(11) =237025152a(12) =461705244a(13) =864913896a(14) =1565082288a(15) =2745758400a(16) =4684950270a(17) =7795127340a(18) =12676924260a(19) =20190250080a(20) =31547265750a(21) =48432564180a(22) =73156880160a(23) =108851783040