OFFSET
1,3
LINKS
Seiichi Manyama, Antidiagonals n = 1..52, flattened
FORMULA
L.g.f. of column k: -log(Product_{j>=1} (1 - x^j)^(j^(k*j))).
G.f. of column k: Sum_{j>=1} j^(k*j+1) * x^j/(1 - x^j).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
3, 9, 33, 129, 513, ...
4, 82, 2188, 59050, 1594324, ...
7, 1033, 262177, 67108993, 17179869697, ...
6, 15626, 48828126, 152587890626, 476837158203126, ...
MATHEMATICA
T[n_, k_] := DivisorSum[n, #^(k*# + 1) &]; Table[T[k, n - k], {n, 1, 9}, {k, 1, n}] // Flatten (* Amiram Eldar, May 09 2021 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jun 18 2019
STATUS
approved