A262132 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 7.
1, 1, 1, 3, 9, 45, 225, 1575, 11025, 99224, 893015, 9821203, 108031161, 1403167368, 18239614827, 273001402026, 4094100409041, 69325319221265, 1178005630046455, 22247669184972959, 422391796578333725, 8797758481967862297, 184548615259788777783
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..200
Crossrefs
Column k=7 of A262124.
Formula
a(n) = A262124(n,7).