Number A(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.
A262163
Number A(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.
Terms
- a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =0a(6) =1a(7) =1a(8) =1a(9) =0a(10) =1a(11) =1a(12) =2a(13) =2a(14) =0a(15) =1a(16) =1a(17) =2a(18) =4a(19) =5a(20) =0a(21) =1a(22) =1a(23) =2a(24) =5a(25) =16a(26) =16a(27) =0a(28) =1a(29) =1
External references
- oeis: A262163