Triangular array read by rows: T(n,k) is the number of inversion pairs ( p(i) < p(j) with i>j ) that are separated by exactly k elements in all n-permutations (where the permutation is represented in one line notation); n>=2, 0<=k<=n-2.

A202363

Triangular array read by rows: T(n,k) is the number of inversion pairs ( p(i) < p(j) with i>j ) that are separated by exactly k elements in all n-permutations (where the permutation is represented in one line notation); n>=2, 0<=k<=n-2.

Terms

    a(0) =1a(1) =6a(2) =3a(3) =36a(4) =24a(5) =12a(6) =240a(7) =180a(8) =120a(9) =60a(10) =1800a(11) =1440a(12) =1080a(13) =720a(14) =360a(15) =15120a(16) =12600a(17) =10080a(18) =7560a(19) =5040a(20) =2520a(21) =141120a(22) =120960a(23) =100800a(24) =80640a(25) =60480a(26) =40320a(27) =20160a(28) =1451520a(29) =1270080

External references