a(n) is the total number of down-steps after the final up-step in all 3_1-Dyck paths of length 4*n (n up-steps and 3n down-steps).

A334608

a(n) is the total number of down-steps after the final up-step in all 3_1-Dyck paths of length 4*n (n up-steps and 3n down-steps).

Terms

    a(0) =0a(1) =5a(2) =34a(3) =236a(4) =1714a(5) =12922a(6) =100300a(7) =796572a(8) =6443536a(9) =52909593a(10) =439896626a(11) =3695917940a(12) =31331587252a(13) =267669458420

External references