A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (x_p+k*y_p)/y_p, where x_p and y_p are the coordinates of peak p; square array A(n,k), n>=0, k>=0, read by antidiagonals.

A258306

A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (x_p+k*y_p)/y_p, where x_p and y_p are the coordinates of peak p; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =3a(9) =5a(10) =1a(11) =1a(12) =4a(13) =7a(14) =14a(15) =1a(16) =1a(17) =5a(18) =9a(19) =23a(20) =43a(21) =1a(22) =1a(23) =6a(24) =11a(25) =34a(26) =71a(27) =141a(28) =1a(29) =1

External references