Number of ballot sequences of length n having 10 largest parts.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =0a(10) =16796a(11) =58786a(12) =149226a(13) =326876a(14) =653752a(15) =1225785a(16) =2187185a(17) =3749460a(18) =6216210a(19) =10015005a(20) =7661738955a(21) =54722507580a(22) =395948080320