a(n) is the total number of down-steps after the final up-step in all 3-Dyck paths of length 4*n (n up-steps and 3*n down-steps).

A334682

a(n) is the total number of down-steps after the final up-step in all 3-Dyck paths of length 4*n (n up-steps and 3*n down-steps).

Terms

    a(0) =0a(1) =3a(2) =18a(3) =118a(4) =829a(5) =6115a(6) =46736a(7) =366912a(8) =2941528a(9) =23981628a(10) =198224910a(11) =1657364566a(12) =13992405626a(13) =119118427610

External references