Search: id:A155040
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%I A155040
%S A155040 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%T A155040 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%U A155040 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%V A155040 1,1,1,1,-1,1,1,-1,-1,1,1,-1,1,-1,1,1,-1,1,1,-1,1,1,-1,1,-1,1,-1,1,1,-1,
%W A155040 1,-1,-1,1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,-1,1,-1,1,1,-1,1,-1,1,1,-1,1,-1,
%X A155040 1,-1,1,-1,1,-1,1,1,-1,1,-1,1,-1,-1,1,-1,1,-1,1,1,-1,1,-1,1,-1,1,-1,1
%N A155040 A symmetric (1,-1)-triangle.
%C A155040 Row sums are A007877(n+1). Diagonal sums are A155041.
%F A155040 Number triangle T(n,k)=sum{j=0..n, [j<=k]*[j<=n-k]*(-1)*(((-1)^(j+1)-0^(j+1))-((-1)^j-0^j))}.
%e A155040 Triangle begins
%e A155040 .1,
%e A155040 .1, 1,
%e A155040 .1, -1, 1,
%e A155040 .1, -1, -1, 1,
%e A155040 .1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, 1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, 1, 1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1,
%e A155040 .1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1
%Y A155040 Sequence in context: A098417 A143622 A076479 this_sequence A033999 A057077 
               A162511
%Y A155040 Adjacent sequences: A155037 A155038 A155039 this_sequence A155041 A155042 
               A155043
%K A155040 easy,sign,tabl
%O A155040 0,1
%A A155040 Paul Barry (pbarry(AT)wit.ie), Jan 19 2009

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