Stirlingcycle
A132393 \(\bbox[yellow, 5px]{\color{DarkGreen} T_{n, k} \ = \ {n \brack k} } \)
\(T_{n + 1, n-k} \) ➤ RevToff11 ➤ 0 1 0 3 2 0 6 11 6 0 10 35 50 24 0 15
\(T_{n + 1, n-k} \) ➤ RevTrev11 ➤ 0 0 1 0 2 3 0 6 11 6 0 24 50 35 10 0
\(T_{n - k, n - 2k} \ \ (k \le n/2)\) ➤ RevTantidiag ➤ 1 1 1 0 1 1 1 3 0 1 6 2 1 10 11 0 1 15
\(T_{n + 1, n-k}\ (n-k + 1) \) ➤ RevTder ➤ 0 1 0 3 4 0 6 22 18 0 10 70 150 96 0 15
\(T_{n, n / 2}\) ➤ RevColMiddle ➤ 1 1 1 3 11 35 225 735 6769 22449 269325
\(\sum_{k=0}^{n} T_{n, n-k}\ k^{2}\) ➤ RevTransSqrs ➤ 0 0 1 11 104 984 9764 103340 1172968