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), n>=0, ceiling((sqrt(1+8*n)-1)/2)<=k<=n, read by rows.

A316292

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), n>=0, ceiling((sqrt(1+8*n)-1)/2)<=k<=n, read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =8a(6) =16a(7) =5a(8) =50a(9) =65a(10) =1a(11) =79a(12) =314a(13) =326a(14) =69a(15) =872a(16) =2142a(17) =1957a(18) =34a(19) =1539a(20) =8799a(21) =16248a(22) =13700a(23) =9a(24) =1823a(25) =24818a(26) =89273a(27) =137356a(28) =109601a(29) =1

External references