A262135 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 10.
1, 1, 1, 3, 9, 45, 225, 1575, 11025, 99225, 893025, 9823275, 108056024, 1404728312, 18261451790, 273921776850, 4108787293579, 69849383990843, 1187387325581683, 22560359186051977, 428591632052426778, 9000424273100962338, 188954690005716285164
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..200
Crossrefs
Column k=10 of A262124.
Formula
a(n) = A262124(n,10).