a(n) is the total number of down-steps after the final up-step in all 4_2-Dyck paths of length 5*n (n up-steps and 4*n down-steps).

A334611

a(n) is the total number of down-steps after the final up-step in all 4_2-Dyck paths of length 5*n (n up-steps and 4*n down-steps).

Terms

    a(0) =0a(1) =9a(2) =82a(3) =747a(4) =7065a(5) =69098a(6) =694272a(7) =7127865a(8) =74468546a(9) =789265125a(10) =8466019380a(11) =91736269053

External references