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%I #3 Mar 30 2012 18:59:14
%S 1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,
%T 0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,
%U 0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1
%N Generalized Riordan array (1,x)+(x,x^2)+(x^2,x^3).
%C Row sums are A083039. Diagonal sums are A117199. Inverse is A117200.
%F Number triangle T(n,k)=if(n=k,1,0) OR if(n=2k+1,1,0) OR if(n=3k+2,1,0).
%e Triangle begins
%e 1,
%e 1, 1,
%e 1, 0, 1,
%e 0, 1, 0, 1,
%e 0, 0, 0, 0, 1,
%e 0, 1, 1, 0, 0, 1,
%e 0, 0, 0, 0, 0, 0, 1,
%e 0, 0, 0, 1, 0, 0, 0, 1,
%e 0, 0, 1, 0, 0, 0, 0, 0, 1,
%e 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,
%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
%K easy,nonn,tabl
%O 0,1
%A _Paul Barry_, Mar 02 2006
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