Number of ascending runs in {1,...,6}^n.

Terms

a(0) =0a(1) =6a(2) =57a(3) =468a(4) =3564a(5) =25920a(6) =182736a(7) =1259712a(8) =8538048a(9) =57106944a(10) =377913600a(11) =2479113216a(12) =16144468992a(13) =104485552128a(14) =672625741824