Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 8.

A262133

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 8.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =9a(5) =45a(6) =225a(7) =1575a(8) =11025a(9) =99225a(10) =893024a(11) =9823264a(12) =108051897a(13) =1404674661a(14) =18256733309a(15) =273850999635

External references