Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.
A316293
Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =8a(6) =5a(7) =1a(8) =16a(9) =50a(10) =79a(11) =69a(12) =34a(13) =9a(14) =1a(15) =65a(16) =314a(17) =872a(18) =1539a(19) =1823a(20) =1494a(21) =856a(22) =339a(23) =89a(24) =14a(25) =1a(26) =326a(27) =2142a(28) =8799a(29) =24818
External references
- oeis: A316293