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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 <= 4.
4

%I #4 Sep 11 2015 19:32:36

%S 1,1,1,3,9,45,224,1568,10763,96867,840122,9241342,96502325,1254530225,

%T 15299599194,229493987910,3199636182647,54393815104999,

%U 853245337600170,16211661414403230,282567703716447041,5933921778045387861,113771512251159523658

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

%H Alois P. Heinz, <a href="/A262129/b262129.txt">Table of n, a(n) for n = 0..400</a>

%F a(n) = A262124(n,4).

%Y Column k=4 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015