OFFSET
1,3
LINKS
Seiichi Manyama, Antidiagonals n = 1..140, flattened
FORMULA
Dirichlet g.f. of column k: 1/(zeta(s)*zeta(s-k)).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
-2, -3, -5, -9, -17, -33, ...
-2, -4, -10, -28, -82, -244, ...
1, 2, 4, 8, 16, 32, ...
-2, -6, -26, -126, -626, -3126, ...
4, 12, 50, 252, 1394, 8052, ...
MATHEMATICA
T[n_, k_] := DivisorSum[n, MoebiusMu[#] * MoebiusMu[n/#] * #^k &]; Table[T[n - k + 1, k], {n, 0, 10}, {k, n, 0, -1}] // Flatten (* Amiram Eldar, Aug 24 2021 *)
PROG
(PARI) T(n, k) = sumdiv(n, d, moebius(d)*moebius(n/d)*d^k);
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, Aug 24 2021
STATUS
approved