Total sum A(n,k) of the k-th powers of lengths of ascending runs in all permutations of [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals.

A229001

Total sum A(n,k) of the k-th powers of lengths of ascending runs in all permutations of [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Terms

    a(0) =0a(1) =0a(2) =1a(3) =0a(4) =1a(5) =3a(6) =0a(7) =1a(8) =4a(9) =12a(10) =0a(11) =1a(12) =6a(13) =18a(14) =60a(15) =0a(16) =1a(17) =10a(18) =32a(19) =96a(20) =360a(21) =0a(22) =1a(23) =18a(24) =66a(25) =186a(26) =600a(27) =2520a(28) =0a(29) =1

External references