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%I #7 Dec 29 2023 13:15:49
%S 1,0,1,0,0,1,0,-2,0,1,0,-1,-4,0,1,0,0,-2,-6,0,1,0,0,4,-3,-8,0,1,0,0,4,
%T 12,-4,-10,0,1,0,0,1,12,24,-5,-12,0,1,0,0,0,-5,24,40,-6,-14,0,1,0,0,0,
%U -12,-26,40,60,-7,-16,0,1,0,0,0,-6,-48,-70,60,84,-8,-18,0,1,0,0,0,-1,-8,-120,-145,84,112,-9,-20,0,1
%N Riordan array (1,x(1+x)(1-x(1+x))).
%C Riordan array product (1,x(1+x))*(1,x(1-x)). Row sums are A112518. Inverse is A112519.
%F Riordan array (1, x(1-2x^2-x^3)); T(n, k)=sum{j=0..n, C(j, n-j)C(k, j-k)(-1)^(j-k)}.
%e Triangle begins
%e .1;
%e .0,1;
%e .0,0,1;
%e .0,-2,0,1;
%e .0,-1,-4,0,1;
%e .0,0,-2,-6,0,1;
%K easy,sign,tabl
%O 0,8
%A _Paul Barry_, Sep 09 2005
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