A262134 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 9.
1, 1, 1, 3, 9, 45, 225, 1575, 11025, 99225, 893025, 9823274, 108056013, 1404720092, 18261352963, 273907724376, 4108601566641, 69834315000567, 1187167554049581, 22546611220735671, 428370636959431545, 8988329939437212520, 188741185272961560031
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..200
Crossrefs
Column k=9 of A262124.
Formula
a(n) = A262124(n,9).