Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 6.

A262168

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 6.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =20a(5) =87a(6) =522a(7) =3270a(8) =26160a(9) =214424a(10) =2144240a(11) =21705682a(12) =260468184a(13) =3134839134a(14) =43887747876a(15) =611561379844

External references