566618domain: NAppears in sequencesa(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=30A005557Number of standard Young tableaux of shape [5n,5].at n=7A215545a(n) = binomial(8*n,n)*(6*n+1)/(7*n+1).at n=5A215552