login
Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 9.
4

%I #4 Sep 11 2015 19:43:21

%S 1,1,1,3,9,45,225,1575,11025,99225,893025,9823274,108056013,

%T 1404720092,18261352963,273907724376,4108601566641,69834315000567,

%U 1187167554049581,22546611220735671,428370636959431545,8988329939437212520,188741185272961560031

%N Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 9.

%H Alois P. Heinz, <a href="/A262134/b262134.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A262124(n,9).

%Y Column k=9 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015