Total number of nodes summed over all lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

A286427

Total number of nodes summed over all lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

Terms

    a(0) =1a(1) =0a(2) =3a(3) =5a(4) =24a(5) =78a(6) =325a(7) =1272a(8) =5373a(9) =22572a(10) =97762a(11) =425716a(12) =1882062a(13) =8375064a(14) =37601643a(15) =169773435a(16) =771096972a(17) =3518065767a(18) =16119884297a(19) =74125225732a(20) =341970676466

External references