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Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 8.
4

%I #4 Sep 11 2015 19:44:27

%S 1,1,1,3,9,45,225,1575,11025,99225,893024,9823264,108051897,

%T 1404674661,18256733309,273850999635,4104997257175,69784953371975,

%U 1184628370304553,22507939035786507,426574822311932257,8958071268550577397,187401362296416433302

%N Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 8.

%H Alois P. Heinz, <a href="/A262133/b262133.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A262124(n,8).

%Y Column k=8 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015