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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 <= 5.
4

%I #4 Sep 11 2015 19:48:13

%S 1,1,1,3,9,45,225,1574,11017,98702,887795,9657563,106067481,

%T 1353914186,17550071995,256827579219,3835324609489,63272134122021,

%U 1069057522350991,19628634717955199,370023070383398685,7484704516983935936,155675234416541005945

%N Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 5.

%H Alois P. Heinz, <a href="/A262130/b262130.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A262124(n,5).

%Y Column k=5 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015