Number of lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps D=(1,-1), H=(1,0) and S=(0,1).

A224776

Number of lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps D=(1,-1), H=(1,0) and S=(0,1).

Terms

    a(0) =1a(1) =1a(2) =3a(3) =14a(4) =83a(5) =568a(6) =4271a(7) =34296a(8) =288946a(9) =2524676a(10) =22695611a(11) =208713400a(12) =1955285936a(13) =18601484936a(14) =179267898087

External references