A293301 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} (-1)^j*x^(j*i)/j!).
1, 1, 0, 1, 1, 0, 1, 1, 4, 0, 1, 1, 3, 18, 0, 1, 1, 3, 12, 120, 0, 1, 1, 3, 13, 66, 840, 0, 1, 1, 3, 13, 74, 450, 7920, 0, 1, 1, 3, 13, 73, 510, 3510, 75600, 0, 1, 1, 3, 13, 73, 500, 4130, 32760, 887040, 0, 1, 1, 3, 13, 73, 501, 4040, 38430, 335160, 10886400, 0, 1, 1, 3
Offset: 0
Examples
Square array begins: 1, 1, 1, 1, 1, ... 0, 1, 1, 1, 1, ... 0, 4, 3, 3, 3, ... 0, 18, 12, 13, 13, ... 0, 120, 66, 74, 73, ... 0, 840, 450, 510, 500, ...
Links
- Seiichi Manyama, Antidiagonals n = 0..139, flattened