Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 10.

A262172

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 10.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =20a(5) =87a(6) =522a(7) =3271a(8) =26168a(9) =214955a(10) =2149550a(11) =21881102a(12) =262573224a(13) =3191352956a(14) =44678941384a(15) =631531613445

External references