A262131 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 6.
1, 1, 1, 3, 9, 45, 225, 1575, 11024, 99216, 891984, 9811824, 107544862, 1398083206, 18043262766, 270648941490, 4013029762464, 68221505961888, 1141412702224688, 21686841342269072, 403841897925538896, 8480679856436316816, 173881330973591388704
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..200
Crossrefs
Column k=6 of A262124.
Formula
a(n) = A262124(n,6).