A294579 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is Sum_{d|n} d^(1 + k*n/d).
1, 1, 3, 1, 5, 4, 1, 9, 10, 7, 1, 17, 28, 25, 6, 1, 33, 82, 97, 26, 12, 1, 65, 244, 385, 126, 80, 8, 1, 129, 730, 1537, 626, 588, 50, 15, 1, 257, 2188, 6145, 3126, 4508, 344, 161, 13, 1, 513, 6562, 24577, 15626, 35652, 2402, 2049, 163, 18
Offset: 1
Examples
Square array begins: 1, 1, 1, 1, 1, ... 3, 5, 9, 17, 33, ... 4, 10, 28, 82, 244, ... 7, 25, 97, 385, 1537, ... 6, 26, 126, 626, 3126, ...
Links
- Seiichi Manyama, Antidiagonals n = 1..140, flattened
Crossrefs
Formula
L.g.f. of column k: -log(Product_{j>=1} (1 - j^k * x^j)). - Seiichi Manyama, Jun 02 2019
G.f. of column k: Sum_{j>0} j^(k+1) * x^j / (1 - j^k * x^j). - Seiichi Manyama, Jan 14 2023