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 U=(1,1), D=(1,-1), H=(1,0) and S=(0,1).

A225042

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 U=(1,1), D=(1,-1), H=(1,0) and S=(0,1).

Terms

    a(0) =1a(1) =2a(2) =8a(3) =48a(4) =360a(5) =3088a(6) =28928a(7) =288208a(8) =3003952a(9) =32402384a(10) =359019952a(11) =4064452272a(12) =46829600704a(13) =547498996736

External references