Number of ascending runs in {1,...,7}^n.

Terms

a(0) =0a(1) =7a(2) =77a(3) =735a(4) =6517a(5) =55223a(6) =453789a(7) =3647119a(8) =28824005a(9) =224827239a(10) =1735205101a(11) =13276336703a(12) =100843663893a(13) =761270796055