%I A117944
%S A117944 1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,
%T A117944 1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
%U A117944 0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
%N A117944 Triangle related to powers of 3 partitions of n.
%C A117944 Row sums are A117943. Inverse is A117945. Row sums of inverse are A039966. 
               A117944=A117939 mod 2 and A117944=A117939^(-1) mod 2.
%F A117944 Triangle T(n,k)=sum{j=0..n, L(C(n,j)/3)*L(C(n-j,k)/3)} mod 2, where L(j/
               p) is the Legendre symbol of j and p.
%e A117944 Triangle begins
%e A117944 1,
%e A117944 0, 1,
%e A117944 1, 0, 1,
%e A117944 0, 0, 0, 1,
%e A117944 0, 0, 0, 0, 1,
%e A117944 0, 0, 0, 1, 0, 1,
%e A117944 1, 0, 0, 0, 0, 0, 1,
%e A117944 0, 1, 0, 0, 0, 0, 0, 1,
%e A117944 1, 0, 1, 0, 0, 0, 1, 0, 1,
%e A117944 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
%e A117944 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
%e A117944 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
%Y A117944 Sequence in context: A086694 A093317 A127253 this_sequence A117945 A128937 
               A102511
%Y A117944 Adjacent sequences: A117941 A117942 A117943 this_sequence A117945 A117946 
               A117947
%K A117944 easy,nonn,tabl
%O A117944 0,1
%A A117944 Paul Barry (pbarry(AT)wit.ie), Apr 05 2006