A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (k*x_p+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.

A258309

A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (k*x_p+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) =4a(10) =1a(11) =1a(12) =4a(13) =7a(14) =9a(15) =1a(16) =1a(17) =5a(18) =10a(19) =23a(20) =21a(21) =1a(22) =1a(23) =6a(24) =13a(25) =43a(26) =71a(27) =51a(28) =1a(29) =1

External references