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-1))).
G.f. of column k: Sum_{j>=1} j^(k*j) * x^j/(1 - x^j).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
2, 5, 17, 65, 257, ...
2, 28, 730, 19684, 531442, ...
3, 261, 65553, 16777281, 4294967553, ...
2, 3126, 9765626, 30517578126, 95367431640626, ...
MATHEMATICA
T[n_, k_] := DivisorSum[n, #^(k*#) &]; 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 17 2019
STATUS
approved