Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 3.

A262165

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 3.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =19a(5) =82a(6) =454a(7) =2795a(8) =20346a(9) =162613a(10) =1469309a(11) =14424200a(12) =155842828a(13) =1812646171a(14) =22807141756a(15) =306480808871

External references