Number of 3-tuples (p_1, p_2, p_3) of Dyck paths of semilength n, such that each p_i is never below p_{i-1} and the upper path p_3 only touches the x-axis at its endpoints.

A378114

Number of 3-tuples (p_1, p_2, p_3) of Dyck paths of semilength n, such that each p_i is never below p_{i-1} and the upper path p_3 only touches the x-axis at its endpoints.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =23a(4) =265a(5) =3942a(6) =70395a(7) =1445700a(8) =33188889a(9) =834702890a(10) =22656163450a(11) =656075013591

External references