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A Jacobi number triangle.
4

%I #3 Mar 30 2012 18:59:09

%S 1,0,1,0,1,1,0,1,-1,1,0,1,-1,0,1,0,1,1,-1,1,1,0,1,1,-1,1,-1,1,0,1,-1,

%T 0,1,0,0,1,0,1,-1,1,1,-1,1,1,1,0,1,1,1,1,1,-1,-1,-1,1,0,1,1,0,1,1,0,0,

%U -1,0,1,0,1,-1,-1,1,-1,-1,1,1,1,1,1,0,1,-1,-1,1,0,-1,-1,1,1,0,-1,1

%N A Jacobi number triangle.

%C Row sums are A110248. Diagonal sums are A110249. Inverse is A110250.

%F Number triangle T(n, k)=if(k<=n, Jacobi(k, 2n-2k+1), 0)

%e Rows begin

%e 1;

%e 0,1;

%e 0,1,1;

%e 0,1,-1,1;

%e 0,1,-1,0,1;

%e 0,1,1,-1,1,1;

%e 0,1,1,-1,1,-1,1;

%Y Cf. A110242.

%K easy,sign,tabl

%O 0,1

%A _Paul Barry_, Jul 17 2005