%I
%S 1,1,0,1,1,0,1,2,2,0,1,3,5,5,0,1,4,9,14,8,0,1,5,14,28,30,16,0,1,6,20,
%T 48,72,68,28,0,1,7,27,75,141,183,145,49,0,1,8,35,110,245,396,443,298,
%U 83,0,1,9,44,154,393,751,1058,1026,600,142,0,1,10,54,208
%N Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1+x^j)^(j*k) in powers of x.
%H Seiichi Manyama, <a href="/A277938/b277938.txt">Antidiagonals n = 0..139, flattened</a>
%F G.f. of column k: Product_{j>=1} (1+x^j)^(j*k).
%e Square array begins:
%e 1, 1, 1, 1, 1, ...
%e 0, 1, 2, 3, 4, ...
%e 0, 2, 5, 9, 14, ...
%e 0, 5, 14, 28, 48, ...
%e 0, 8, 30, 72, 141, ...
%Y Columns k=04 give: A000007, A026007, A026011, A027346, A027906.
%Y Rows n=03 give: A000012, A001477, A000096, A005586.
%Y Main diagonal gives A270922.
%Y Antidiagonal sums give A299167.
%Y Cf. A276554, A279928.
%K nonn,tabl
%O 0,8
%A _Seiichi Manyama_, Apr 11 2017
