Number T(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A258829
Number T(n,k) of permutations p of [n] such that the up-down signature of 0,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) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =2a(8) =2a(9) =1a(10) =0a(11) =5a(12) =11a(13) =3a(14) =1a(15) =0a(16) =16a(17) =38a(18) =28a(19) =4a(20) =1a(21) =0a(22) =61a(23) =263a(24) =130a(25) =62a(26) =5a(27) =1a(28) =0a(29) =272
External references
- oeis: A258829