a(n) = 77*(n+1)*binomial(n+6,11).

Terms

a(0) =462a(1) =6468a(2) =48048a(3) =252252a(4) =1051050a(5) =3699696a(6) =11435424a(7) =31855824a(8) =81477396a(9) =193993800a(10) =434546112a(11) =923410488a(12) =1873980108a(13) =3651858672a(14) =6864396000a(15) =12493200720a(16) =22086194130a(17) =38030772780a(18) =63935791920a(19) =105157552500a(20) =169513974630a(21) =268241893920a(22) =417265168320