Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n having first return to the x-axis at (2k,0) (n,k >= 1). (A Grand Dyck path of semilength n is a path in the half-plane x >= 0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1)).

A118921

Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n having first return to the x-axis at (2k,0) (n,k >= 1). (A Grand Dyck path of semilength n is a path in the half-plane x >= 0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1)).

Terms

    a(0) =2a(1) =4a(2) =2a(3) =12a(4) =4a(5) =4a(6) =40a(7) =12a(8) =8a(9) =10a(10) =140a(11) =40a(12) =24a(13) =20a(14) =28a(15) =504a(16) =140a(17) =80a(18) =60a(19) =56a(20) =84a(21) =1848a(22) =504a(23) =280a(24) =200a(25) =168a(26) =168a(27) =264a(28) =6864a(29) =1848

External references