Triangle read by rows, T(n, k) = Sum_{j=0..n} (-1)^(k-j)*Eulerian1(n, j)* binomial(n-j, n-k) for 0 <= k <= n.

A291977

Triangle read by rows, T(n, k) = Sum_{j=0..n} (-1)^(k-j)*Eulerian1(n, j)* binomial(n-j, n-k) for 0 <= k <= n.

Terms

    a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-1a(5) =0a(6) =1a(7) =1a(8) =-4a(9) =2a(10) =1a(11) =7a(12) =-16a(13) =8a(14) =0a(15) =1a(16) =21a(17) =-28a(18) =-26a(19) =48a(20) =-16a(21) =1a(22) =51a(23) =32a(24) =-356a(25) =408a(26) =-136a(27) =0a(28) =1a(29) =113

External references