A382956 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{p prime} 1/(1 - x^p - y^p).
1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 2, 3, 0, 2, 3, 0, 3, 1, 1, 3, 0, 3, 3, 0, 5, 3, 6, 3, 5, 0, 3, 4, 0, 6, 4, 4, 4, 4, 6, 0, 4, 5, 0, 8, 4, 11, 8, 11, 4, 8, 0, 5, 6, 0, 10, 6, 10, 9, 9, 10, 6, 10, 0, 6, 7, 0, 13, 8, 19, 13, 28, 13, 19, 8, 13, 0, 7
Offset: 0
Examples
Square array begins: 1, 0, 1, 1, 1, 2, 2, 3, 3, 4, ... 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... 1, 0, 2, 1, 3, 3, 5, 6, 8, 10, ... 1, 0, 1, 2, 1, 3, 4, 4, 6, 8, ... 1, 0, 3, 1, 6, 4, 11, 10, 19, 20, ... 2, 0, 3, 3, 4, 8, 9, 13, 17, 22, ... 2, 0, 5, 4, 11, 9, 28, 20, 50, 50, ... 3, 0, 6, 4, 10, 13, 20, 28, 38, 51, ... 3, 0, 8, 6, 19, 17, 50, 38, 104, 92, ... 4, 0, 10, 8, 20, 22, 50, 51, 92, 122, ...
Links
- Seiichi Manyama, Antidiagonals n = 0..139, flattened
Formula
A(n,k) = A(k,n).