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%I #6 Mar 31 2012 12:35:50
%S 1,0,0,65,1578,0,0,1875535329,839252581538,0,0,5227844810759073967200,
%T 39228698077486633860579435,0,0,
%U 1102249786277252805957700361396650437576,135380785027014267422923708062639569342712090,0,0
%N Half the number of nXnXn triangular binary arrays with the number of 0-0 adjacencies equal to the number of 1-1 adjacencies
%C a(n)=0 for n mod 4 = 2 or 3 because the number of edges is odd and flipping a 0 to a 1 changes the relative counts by an even number
%H R. H. Hardin, <a href="/A183271/b183271.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for 4X4X4 with a(1,1)=0 and equal 0-0 and 1-1 adjacencies
%e .....0........0........0........0........0........0........0........0
%e ....1.0......1.0......0.0......1.0......1.1......1.0......0.1......1.1
%e ...1.0.0....1.0.0....1.0.1....1.0.1....0.1.1....0.0.1....1.0.1....0.0.0
%e ..1.1.1.0..0.1.1.1..0.1.1.1..1.1.0.0..0.0.0.0..0.1.1.1..0.1.0.1..1.1.1.0
%K nonn
%O 1,4
%A _R. H. Hardin_ Jan 03 2011
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