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A283272 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is expansion of Product_{j>=1} (1-x^j)^(j^k) in power of x.

%I A283272 #39 Mar 17 2017 12:32:04
%S A283272 1,1,-1,1,-1,-1,1,-1,-2,0,1,-1,-4,-1,0,1,-1,-8,-5,0,1,1,-1,-16,-19,-1,
%T A283272 4,0,1,-1,-32,-65,-9,21,4,1,1,-1,-64,-211,-55,127,49,7,0,1,-1,-128,
%U A283272 -665,-285,807,500,81,3,0,1,-1,-256,-2059,-1351,5179,4809,1038,45
%N A283272 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is expansion of Product_{j>=1} (1-x^j)^(j^k) in power of x.
%H A283272 Seiichi Manyama, <a href="/A283272/b283272.txt">Antidiagonals n = 0..139, flattened</a>
%F A283272 G.f. of column k: Product_{j>=1} (1-x^j)^(j^k).
%e A283272 Square array begins:
%e A283272    1,  1,  1,   1,   1,    1, ...
%e A283272   -1, -1, -1,  -1,  -1,   -1, ...
%e A283272   -1, -2, -4,  -8, -16,  -32, ...
%e A283272    0, -1, -5, -19, -65, -211, ...
%e A283272    0,  0, -1,  -9, -55, -285, ...
%e A283272    1,  4, 21, 127, 807, 5179, ...
%Y A283272 Columns k=0-9 give A010815, A073592, A283263, A283264, A283271, A283336, A283337, A283338, A283339, A283340.
%Y A283272 Row k=5 gives A281581.
%Y A283272 Main diagonal gives A283333.
%Y A283272 Cf. A144048.
%K A283272 sign,tabl
%O A283272 0,9
%A A283272 _Seiichi Manyama_, Mar 04 2017