A362788 Triangle read by rows, T(n, k) = RisingFactorial(n - k, k) * Stirling2(n - k, k), for n >= 0 and 0 <= k <= n//2, where '//' denotes integer division.
1, 0, 0, 1, 0, 2, 0, 3, 6, 0, 4, 36, 0, 5, 140, 60, 0, 6, 450, 720, 0, 7, 1302, 5250, 840, 0, 8, 3528, 30240, 16800, 0, 9, 9144, 151704, 196560, 15120, 0, 10, 22950, 695520, 1764000, 453600, 0, 11, 56210, 2994750, 13471920, 7761600, 332640
Offset: 0
Examples
Triangle T(n, k) starts: [0] 1; [1] 0; [2] 0, 1; [3] 0, 2; [4] 0, 3, 6; [5] 0, 4, 36; [6] 0, 5, 140, 60; [7] 0, 6, 450, 720; [8] 0, 7, 1302, 5250, 840; [9] 0, 8, 3528, 30240, 16800;