A293299 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>0} 1/(Sum_{j=0..k} x^(j*i)/j!).
1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -6, 0, 1, -1, -1, 0, 24, 0, 1, -1, -1, -1, -6, -120, 0, 1, -1, -1, -1, 2, 30, 720, 0, 1, -1, -1, -1, 1, 10, 270, -5040, 0, 1, -1, -1, -1, 1, 20, 170, 0, 80640, 0, 1, -1, -1, -1, 1, 19, 140, 1050, 2520, -725760, 0, 1, -1
Offset: 0
Examples
Square array begins: 1, 1, 1, 1, 1, ... 0, -1, -1, -1, -1, ... 0, 0, -1, -1, -1, ... 0, -6, 0, -1, -1, ... 0, 24, -6, 2, 1, ... 0, -120, 30, 10, 20, ...
Links
- Seiichi Manyama, Antidiagonals n = 0..139, flattened