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%I #10 Jan 25 2020 00:53:24
%S 1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,
%T 0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,
%U 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
%N Triangle T(n,k), 0<=k<=n, read by rows given by [0,1,-1,0,0,0,0,0,0,0,...] DELTA [1,-1,-1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
%F Sum_{k=0..n} T(n,k)*x^(n-k) = A135528(n+1), A000012(n), A040001(n), A153284(n+1) for x = 0,1,2,3 respectively.
%F G.f.: (1+y*x+(y-y^2)*x^2)/(1-y^2*x^2). - _Philippe Deléham_, Dec 17 2011
%F Sum_{k=0..n} T(n,k)*x^k = A000007(n), A000012(n), A158302(n) for x = 0, 1, 2 respectively. - _Philippe Deléham_, Dec 17 2011
%e Triangle begins:
%e 1;
%e 0, 1;
%e 0, 1, 0;
%e 0, 0, 0, 1;
%e 0, 0, 0, 1, 0;
%e 0, 0, 0, 0, 0, 1; ...
%K nonn,tabl
%O 0,1
%A _Philippe Deléham_, Jan 08 2009
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