Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A262125
Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
Terms
- a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =2a(8) =1a(9) =0a(10) =0a(11) =5a(12) =3a(13) =1a(14) =0a(15) =0a(16) =16a(17) =24a(18) =4a(19) =1a(20) =0a(21) =0a(22) =61a(23) =101a(24) =57a(25) =5a(26) =1a(27) =0a(28) =0a(29) =272
External references
- oeis: A262125