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%I #22 Jan 06 2018 18:44:19
%S 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,
%T 1,8,43,156,357,481,515,1,1,9,57,259,781,1445,1534,1155,1,1,10,73,400,
%U 1555,3931,5797,4693,2899,1,1,11,91,585,2801,9331,19681,23205
%N 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.
%H Seiichi Manyama, <a href="/A294316/b294316.txt">Antidiagonals n = 0..139, flattened</a>
%e Square array A(n,k) begins:
%e 1, 1, 1, 1, 1, ...
%e 1, 3, 4, 5, 6, ...
%e 1, 11, 13, 21, 31, ...
%e 1, 27, 49, 85, 156, ...
%e 1, 83, 157, 357, 781, ...
%e 1, 195, 481, 1445, 3931, ...
%Y Columns k=1..3 give A000012, A289842, A294298.
%Y Rows n=0 gives A000012.
%Y Main diagonal gives A023037.
%Y Cf. A292477.
%K nonn,tabl
%O 0,5
%A _Seiichi Manyama_, Oct 28 2017
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