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

Offset: 0

Author

Seiichi Manyama, Oct 28 2017

Keywords

• nonn
• tabl

Examples

			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, ...
		

Links

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

Crossrefs

Columns k=1..3 give A000012, A289842, A294298.

Rows n=0 gives A000012.

Main diagonal gives A023037.

Cf. A292477.