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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.
3
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
OFFSET
0,5
LINKS
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, ...
1, 195, 481, 1445, 3931, ...
CROSSREFS
Columns k=1..3 give A000012, A289842, A294298.
Rows n=0 gives A000012.
Main diagonal gives A023037.
Cf. A292477.
Sequence in context: A296006 A245397 A346792 * A294761 A167284 A016463
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Oct 28 2017
STATUS
approved