login
Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 10.
3

%I #4 Sep 11 2015 19:41:40

%S 1,1,1,3,9,45,225,1575,11025,99225,893025,9823275,108056024,

%T 1404728312,18261451790,273921776850,4108787293579,69849383990843,

%U 1187387325581683,22560359186051977,428591632052426778,9000424273100962338,188954690005716285164

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

%H Alois P. Heinz, <a href="/A262135/b262135.txt">Table of n, a(n) for n = 0..200</a>

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

%Y Column k=10 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015