Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of four.

A320978

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of four.

Terms

    a(0) =0a(1) =1a(2) =5a(3) =123a(4) =778a(5) =14126a(6) =111811a(7) =1957924a(8) =18846572a(9) =342736488a(10) =3904186779a(11) =75626480215a(12) =996651530998

External references