Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 9.

A262171

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 9.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =20a(5) =87a(6) =522a(7) =3271a(8) =26168a(9) =214955a(10) =2149549a(11) =21881092a(12) =262569097a(13) =3191307394a(14) =44674222343a(15) =631473609984

External references