a(n) is the total number of down steps between the first and second up steps in all 3_2-Dyck paths of length 4*n.

A334650

a(n) is the total number of down steps between the first and second up steps in all 3_2-Dyck paths of length 4*n.

Terms

    a(0) =0a(1) =6a(2) =31a(3) =158a(4) =975a(5) =6639a(6) =48050a(7) =362592a(8) =2820789a(9) =22460120a(10) =182141553a(11) =1499143282a(12) =12490923757a(13) =105150960654a(14) =892973346300

External references