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Parity array of a matrix of Hankel transforms related to C(n,floor(n/2))
1

%I #2 Mar 30 2012 18:59:21

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

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

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

%N Parity array of a matrix of Hankel transforms related to C(n,floor(n/2))

%C Row sums appear to be A061338(n+1).

%F T(n,k)=mod(A144092(n,k),2).

%e Triangle begins

%e 1,

%e 1, 1,

%e 1, 0, 1,

%e 1, 1, 1, 1,

%e 1, 0, 0, 0, 1,

%e 1, 1, 0, 0, 0, 1,

%e 1, 0, 1, 0, 0, 0, 1,

%e 1, 1, 1, 1, 1, 1, 1, 1,

%e 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

%e 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

%K easy,nonn,tabl

%O 0,1

%A _Paul Barry_, Sep 10 2008