A262130 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 5.
1, 1, 1, 3, 9, 45, 225, 1574, 11017, 98702, 887795, 9657563, 106067481, 1353914186, 17550071995, 256827579219, 3835324609489, 63272134122021, 1069057522350991, 19628634717955199, 370023070383398685, 7484704516983935936, 155675234416541005945
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..200
Crossrefs
Column k=5 of A262124.
Formula
a(n) = A262124(n,5).