login
Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 6.
4

%I #4 Sep 11 2015 19:47:08

%S 1,1,1,3,9,45,225,1575,11024,99216,891984,9811824,107544862,

%T 1398083206,18043262766,270648941490,4013029762464,68221505961888,

%U 1141412702224688,21686841342269072,403841897925538896,8480679856436316816,173881330973591388704

%N Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 6.

%H Alois P. Heinz, <a href="/A262131/b262131.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A262124(n,6).

%Y Column k=6 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015