Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n, having k (1,1)-steps on the line y=x (a Delannoy path of length n is a path from (0,0) to (n,n), consisting of steps (E=1,0), N=(0,1) and D(1,1)).

A109979

Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n, having k (1,1)-steps on the line y=x (a Delannoy path of length n is a path from (0,0) to (n,n), consisting of steps (E=1,0), N=(0,1) and D(1,1)).

Terms

    a(0) =1a(1) =2a(2) =1a(3) =8a(4) =4a(5) =1a(6) =36a(7) =20a(8) =6a(9) =1a(10) =172a(11) =104a(12) =36a(13) =8a(14) =1a(15) =852a(16) =552a(17) =212a(18) =56a(19) =10a(20) =1a(21) =4324a(22) =2968a(23) =1236a(24) =368a(25) =80a(26) =12a(27) =1a(28) =22332a(29) =16104

External references