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A292133 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + k*x^j).

%I A292133 #16 Sep 09 2017 12:15:15
%S A292133 1,1,0,1,-1,0,1,-2,0,0,1,-3,2,-1,0,1,-4,6,-6,1,0,1,-5,12,-21,14,-1,0,
%T A292133 1,-6,20,-52,69,-26,1,0,1,-7,30,-105,220,-201,50,-1,0,1,-8,42,-186,
%U A292133 545,-868,591,-102,2,0,1,-9,56,-301,1146,-2705,3436,-1785,214,-2,0
%N A292133 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + k*x^j).
%H A292133 Seiichi Manyama, <a href="/A292133/b292133.txt">Antidiagonals n = 0..139, flattened</a>
%e A292133 Square array begins:
%e A292133    1,  1,  1,   1,   1, ...
%e A292133    0, -1, -2,  -3,  -4, ...
%e A292133    0,  0,  2,   6,  12, ...
%e A292133    0, -1, -6, -21, -52, ...
%e A292133    0,  1, 14,  69, 220, ...
%Y A292133 Columns k=0..3 give A000007, A081362, A071109, A261582.
%Y A292133 Rows n=0..1 give A000012, (-1)*A001477.
%Y A292133 Main diagonal gives A292134.
%Y A292133 Cf. A246935, A286957.
%K A292133 sign,tabl
%O A292133 0,8
%A A292133 _Seiichi Manyama_, Sep 09 2017