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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 <= 7.
4

%I #4 Sep 11 2015 19:45:30

%S 1,1,1,3,9,45,225,1575,11025,99224,893015,9821203,108031161,

%T 1403167368,18239614827,273001402026,4094100409041,69325319221265,

%U 1178005630046455,22247669184972959,422391796578333725,8797758481967862297,184548615259788777783

%N Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= 7.

%H Alois P. Heinz, <a href="/A262132/b262132.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = A262124(n,7).

%Y Column k=7 of A262124.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 11 2015