518324

Appears in sequences

• Number of permutations p of [n] such that the sequence of ascents and descents of 0p or of 0p0 (if n is odd) forms a Dyck path.at n=10A303284
• Number of permutations p of [2n] such that the sequence of ascents and descents of p0 forms a Dyck path.at n=5A303285
• Number of permutations p of [n] such that the sequence of ascents and descents of p or of p0 (if n is even) forms a Dyck path.at n=10A303287
• Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows.at n=25A316728
• Number T(n,k) of permutations p of [n] with exactly k descents such that the up-down signature of p has nonnegative partial sums; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows.at n=30A321280