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%I
%S 1,1,-1,1,-2,2,1,-3,6,-3,1,-4,12,-12,3,1,-5,20,-30,15,0,1,-6,30,-60,
%T 45,0,-10,1,-7,42,-105,105,0,-70,35,1,-8,56,-168,210,0,-280,280,-90
%N Triangle, row sums = A005614, the rabbit sequence.
%F Binomial transform of the infinite matrix with the diagonalized sequence A124841.
%e First few rows of the triangle are:
%e 1;
%e 1, -1;
%e 1, -2, 2;
%e 1, -3, 6, -3;
%e 1, -4, 12, -12, 3;
%e 1, -5, 20, -30, 15, 0;
%e 1, -6, 30, -60, 45, 0, -10;
%e ...
%e 4-th term of the rabbit sequence (1, 0, 1, 1, 0...) = 1 = sum of row 4 terms: (1, - 3 + 6 - 3).
%Y Cf. A124841.
%K sign
%O 1,5
%A _Gary W. Adamson_, Nov 10 2006
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