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%I #15 Sep 08 2017 10:07:07
%S 1,0,-1,0,-1,0,-1,-1,0,-1,-1,0,-1,-2,0,-1,-2,1,0,-1,-3,1,0,-1,-3,2,0,
%T -1,-4,3,0,-1,-4,4,1,0,-1,-5,5,1,0,-1,-5,7,2,0,-1,-6,8,3,0,-1,-6,10,5,
%U 0,-1,-7,12,6,-1,0,-1,-7,14,9,-1,0,-1,-8,16,11,-2,0,-1
%N Triangle read by rows: T(n,k) = (-1)^k * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
%H Seiichi Manyama, <a href="/A292047/b292047.txt">Rows n = 0..481, flattened</a>
%e First few rows are:
%e 1;
%e 0, -1;
%e 0, -1;
%e 0, -1, -1;
%e 0, -1, -1;
%e 0, -1, -2;
%e 0, -1, -2, 1;
%e 0, -1, -3, 1;
%e 0, -1, -3, 2;
%e 0, -1, -4, 3;
%e 0, -1, -4, 4, 1.
%Y Row sums give A278399.
%Y Columns 0-1 give A000007, (-1)*A000012.
%Y Cf. A292049.
%K sign,tabf,look
%O 0,14
%A _Seiichi Manyama_, Sep 08 2017
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