A294316 - OEIS

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A294316

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where A(n,k) is the sum of products of terms in all partitions of k*n into powers of k.

1, 1, 1, 1, 3, 1, 1, 4, 11, 1, 1, 5, 13, 27, 1, 1, 6, 21, 49, 83, 1, 1, 7, 31, 85, 157, 195, 1, 1, 8, 43, 156, 357, 481, 515, 1, 1, 9, 57, 259, 781, 1445, 1534, 1155, 1, 1, 10, 73, 400, 1555, 3931, 5797, 4693, 2899, 1, 1, 11, 91, 585, 2801, 9331, 19681, 23205

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Seiichi Manyama, Antidiagonals n = 0..139, flattened

EXAMPLE

Square array A(n,k) begins:

1, 1, 1, 1, 1, ...

1, 3, 4, 5, 6, ...

1, 11, 13, 21, 31, ...

1, 27, 49, 85, 156, ...

1, 83, 157, 357, 781, ...