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%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
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