A(n,k) is the sum of the k-th powers of the (positive) number of permutations of [n] with j descents (j=0..max(0,n-1)); square array A(n,k), n>=0, k>=0, read by antidiagonals.

A335545

A(n,k) is the sum of the k-th powers of the (positive) number of permutations of [n] with j descents (j=0..max(0,n-1)); square array A(n,k), n>=0, k>=0, read by antidiagonals.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =2a(9) =3a(10) =1a(11) =1a(12) =2a(13) =6a(14) =4a(15) =1a(16) =1a(17) =2a(18) =18a(19) =24a(20) =5a(21) =1a(22) =1a(23) =2a(24) =66a(25) =244a(26) =120a(27) =6a(28) =1a(29) =1

External references