A(n,k) is the sum over all Dyck paths of semilength 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.

A258219

A(n,k) is the sum over all Dyck paths of semilength 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) =2a(5) =4a(6) =1a(7) =3a(8) =10a(9) =25a(10) =1a(11) =4a(12) =18a(13) =74a(14) =208a(15) =1a(16) =5a(17) =28a(18) =153a(19) =706a(20) =2146a(21) =1a(22) =6a(23) =40a(24) =268a(25) =1638a(26) =8162a(27) =26368a(28) =1a(29) =7

External references