Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 2.

A262164

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 2.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =16a(5) =54a(6) =324a(7) =1532a(8) =12256a(9) =74512a(10) =745120a(11) =5536752a(12) =66441024a(13) =583466480a(14) =8168530720a(15) =82769713504

External references