%I #17 Sep 09 2017 12:15:40

%S 1,1,0,1,-1,0,1,-2,-1,0,1,-3,-2,0,0,1,-4,-3,2,0,0,1,-5,-4,6,2,1,0,1,

%T -6,-5,12,6,6,0,0,1,-7,-6,20,12,15,-2,1,0,1,-8,-7,30,20,28,-12,2,0,0,

%U 1,-9,-8,42,30,45,-36,-3,-6,0,0,1,-10,-9,56,42,66,-80

%N Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 - k*x^j).

%H Seiichi Manyama, <a href="/A292131/b292131.txt">Antidiagonals n = 0..139, flattened</a>

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e 0, -1, -2, -3, -4, ...

%e 0, -1, -2, -3, -4, ...

%e 0, 0, 2, 6, 12, ...

%e 0, 0, 2, 6, 12, ...

%Y Columns k=0..3 give A000007, A010815, A070877, A292128.

%Y Rows n=0..1 give A000012, (-1)*A001477.

%Y Main diagonal gives A292132.

%Y Cf. A246935, A286957.

%K sign,tabl

%O 0,8

%A _Seiichi Manyama_, Sep 09 2017