This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
Triangle starts: [0] 1; [1] -1, 1; [2] 10, -2, 1; [3] -270, 24, -3, 1; [4] 14056, -720, 44, -4, 1; [5] -1197000, 40320, -1500, 70, -5, 1; [6] 151169040, -3628800, 92064, -2700, 102, -6, 1;
A357339 := proc(n, k) local u; u:=(n - k); (2*u)!*add(binomial(-n, j) * j! * add((-1)^(j+m)*binomial(u+j, u+m)*Stirling2(u+m, m), m=0..j) / (u+j)!, j=0..u) end: seq(print(seq(A357339(n, k), k=0..n)), n=0..6);
# using function A268437. def A357339(n, k): return sum(binomial(-n, i) * A268437(n - k, i) for i in range(n - k + 1)) for n in range(9): print([A357339(n, k) for k in range(n + 1)])