A262127 Number of permutations p of [2n] such that the up-down signature of p has nonnegative partial sums with a maximal value of n.
1, 1, 3, 57, 778, 47673, 1477381, 196352061, 10896848134, 2539183745028, 220995092995233, 79875004816604671, 10032237471596350240, 5198811549997063847059, 890008776794671492878641, 626002734896306246681963237, 140112228518254335504033414806
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..50
Crossrefs
Cf. A262125.
Formula
a(n) = A262125(2n,n).