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%I #12 Aug 30 2017 09:36:46
%S 1,1,0,1,-1,0,1,-2,0,0,1,-3,1,-1,0,1,-4,3,-2,0,0,1,-5,6,-4,2,-1,0,1,
%T -6,10,-8,6,-2,-1,0,1,-7,15,-15,13,-6,1,-1,0,1,-8,21,-26,25,-16,6,0,
%U -2,0,1,-9,28,-42,45,-36,18,-3,0,-2,0,1,-10,36,-64,77,-72
%N Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of k-th power of continued fraction 1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))).
%F G.f. of column k: (1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))))^k, a continued fraction.
%e Square array begins:
%e 1, 1, 1, 1, 1, ...
%e 0, -1, -2, -3, -4, ...
%e 0, 0, 1, 3, 6, ...
%e 0, -1, -2, -4, -8, ...
%e 0, 0, 2, 6, 13, ...
%Y Columns k=0..1 give A000007, A291148.
%Y Rows n=0..1 give A000012, A001489.
%Y Main diagonal gives A291702.
%Y Cf. A291652.
%K sign,tabl
%O 0,8
%A _Seiichi Manyama_, Aug 30 2017
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