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%I #5 Mar 31 2012 12:35:50
%S 1,4,24,216,2808,51840,1347192,49029624,2490765552,176234338656,
%T 17339959771992,2369745054644616,449436884224900104,
%U 118209416642307619200,43093920857777993195064
%N Half the number of nXnXn triangular binary arrays with no array-nonaligned 2X2X2 subtriangle being all zero or all one
%H R. H. Hardin, <a href="/A183279/b183279.txt">Table of n, a(n) for n = 1..23</a>
%e Some solutions for 6X6X6 with a(1,1)=0
%e .......0............0............0............0............0............0
%e ......0.0..........1.0..........0.1..........1.0..........1.0..........0.1
%e .....0.1.0........1.0.0........1.0.1........1.0.1........0.0.1........1.0.0
%e ....1.0.0.1......1.0.1.0......1.1.1.0......1.0.1.0......1.1.0.0......1.0.1.0
%e ...0.0.1.0.1....1.0.1.0.1....1.0.0.0.1....0.1.1.1.0....0.0.1.1.0....1.0.1.1.0
%e ..1.1.1.1.1.1..1.1.1.1.1.0..1.0.1.1.0.1..1.1.0.0.1.1..0.1.1.0.0.1..0.1.0.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 03 2011