Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 6.

A262131

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 6.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =9a(5) =45a(6) =225a(7) =1575a(8) =11024a(9) =99216a(10) =891984a(11) =9811824a(12) =107544862a(13) =1398083206a(14) =18043262766a(15) =270648941490

External references