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%I #22 May 14 2017 04:32:39
%S 1,1,0,1,-1,0,1,-1,0,0,1,-1,-1,-1,0,1,-1,-1,1,1,0,1,-1,-1,0,-1,-1,0,1,
%T -1,-1,0,1,0,1,0,1,-1,-1,0,0,0,2,-1,0,1,-1,-1,0,0,2,-1,-1,2,0,1,-1,-1,
%U 0,0,1,-1,1,-1,-2,0,1,-1,-1,0,0,1,1,0,2,3,2,0,1
%N Square array A(n,k), n>=0, k>=1, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 - x^j)/(1 - x^(k*j)).
%F G.f. of column k: Product_{j>=1} (1 - x^j)/(1 - x^(k*j)).
%e Square array begins:
%e 1, 1, 1, 1, 1, ...
%e 0, -1, -1, -1, -1, ...
%e 0, 0, -1, -1, -1, ...
%e 0, -1, 1, 0, 0, ...
%e 0, 1, -1, 1, 0, ...
%Y Columns k=1-5 give: A000007, A081362, A137569, A082303, A145466.
%Y Main diagonal gives A010815.
%Y Cf. A286653.
%K sign,tabl
%O 0,43
%A _Seiichi Manyama_, May 14 2017
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