Triangle read by rows: T(n, k) = (Sum_{i=0..n-k} (-1)^i * binomial(n-k, i) * (n+2-i)!) * binomial(n, k) / ((k+1) * (k+2)) for 0 <= k <= n.

A373050

Triangle read by rows: T(n, k) = (Sum_{i=0..n-k} (-1)^i * binomial(n-k, i) * (n+2-i)!) * binomial(n, k) / ((k+1) * (k+2)) for 0 <= k <= n.

Terms

    a(0) =1a(1) =2a(2) =1a(3) =7a(4) =6a(5) =2a(6) =32a(7) =39a(8) =24a(9) =6a(10) =181a(11) =284a(12) =252a(13) =120a(14) =24a(15) =1214a(16) =2325a(17) =2680a(18) =1860a(19) =720a(20) =120a(21) =9403a(22) =21234a(23) =30030a(24) =27240a(25) =15480a(26) =5040a(27) =720a(28) =82508a(29) =214459

External references