Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 5.

A262130

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 5.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =9a(5) =45a(6) =225a(7) =1574a(8) =11017a(9) =98702a(10) =887795a(11) =9657563a(12) =106067481a(13) =1353914186a(14) =17550071995a(15) =256827579219

External references