OFFSET
0,3
COMMENTS
A(n,k) is the number of partitions of k*n into powers of k.
LINKS
Seiichi Manyama, Antidiagonals n = 0..139, flattened
George E. Andrews, Aviezri S. Fraenkel, James A. Sellers, Characterizing the number of m-ary partitions modulo m, Amer. Math. Monthly 122:9 (2015), 880-885.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
2, 2, 2, 2, 2, 2, ...
4, 3, 3, 3, 3, 3, ...
6, 5, 4, 4, 4, 4, ...
10, 7, 6, 5, 5, 5, ...
14, 9, 8, 7, 6, 6, ...
MATHEMATICA
Table[Function[k, SeriesCoefficient[Product[1/(1 - x^k^i), {i, 0, n}], {x, 0, k n}]][j - n + 2], {j, 0, 12}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Sep 17 2017
STATUS
approved