Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 7.

A262169

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 7.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =20a(5) =87a(6) =522a(7) =3271a(8) =26167a(9) =214946a(10) =2148500a(11) =21869553a(12) =262040897a(13) =3184440794a(14) =44442180413a(15) =627992981034

External references