A262135 Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 10.

1, 1, 1, 3, 9, 45, 225, 1575, 11025, 99225, 893025, 9823275, 108056024, 1404728312, 18261451790, 273921776850, 4108787293579, 69849383990843, 1187387325581683, 22560359186051977, 428591632052426778, 9000424273100962338, 188954690005716285164

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200

Formula

a(n) = A262124(n,10).

Crossrefs

Column k=10 of A262124.

Sequence in context: A262132 A262133 A262134 * A000246 A247006 A103620

Adjacent sequences: A262132 A262133 A262134 * A262136 A262137 A262138

Keyword

nonn

Author

Alois P. Heinz, Sep 11 2015

Status

approved