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A387656
Array read by ascending antidiagonals: A(n, k) = numerator(k^n/n), with k >= 0.
1
0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 8, 9, 4, 0, 1, 4, 9, 8, 5, 0, 1, 32, 81, 64, 25, 6, 0, 1, 32, 243, 64, 125, 18, 7, 0, 1, 128, 243, 1024, 625, 72, 49, 8, 0, 1, 32, 2187, 2048, 625, 324, 343, 32, 9, 0, 1, 512, 6561, 16384, 15625, 7776, 2401, 512, 81, 10
OFFSET
1,6
EXAMPLE
Array of the fractions begins as:
0/1, 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, ...
0/1, 1/2, 2/1, 9/2, 8/1, 25/2, 18/1, ...
0/1, 1/3, 8/3, 9/1, 64/3, 125/3, 72/1, ...
0/1, 1/4, 4/1, 81/4, 64/1, 625/4, 324/1, ...
0/1, 1/5, 32/5, 243/5, 1024/5, 625/1, 7776/5, ...
0/1, 1/6, 32/3, 243/2, 2048/3, 15625/6, 7776/1, ...
...
MATHEMATICA
A[n_, k_]:=Numerator[k^n/n]; Table[A[n-k, k], {n, 11}, {k, 0, n-1}]//Flatten
CROSSREFS
Cf. A004248, A065440 (diagonal), A112543, A387657 (denominator).
Columns k=0..4 give: A000004, A000012, A075101, A273893, (1/2)*A278312.
Rows n=1..3 give: A000027, A129194, A387655.
Sequence in context: A323844 A383742 A350263 * A360677 A263833 A308625
KEYWORD
nonn,easy,frac,tabl
AUTHOR
Stefano Spezia, Sep 05 2025
STATUS
approved