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A183278 Half the number of n X n X n triangular binary arrays with no array-aligned 2 X 2 X 2 subtriangle being all zero or all one. 2

%I

%S 1,3,13,80,693,8407,142362,3357612,110120153,5016480073,317135545779,

%T 27803984036400,3378700619148221,568830517952061132,

%U 132632829107728951932,42817890108690930718624

%N Half the number of n X n X n triangular binary arrays with no array-aligned 2 X 2 X 2 subtriangle being all zero or all one.

%H R. H. Hardin, <a href="/A183278/b183278.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for 6X6X6 with a(1,1)=0

%e .......0............0............0............0............0............0

%e ......0.1..........0.1..........1.1..........1.1..........1.1..........1.0

%e .....1.1.0........1.1.0........1.0.0........0.1.0........0.0.0........0.0.1

%e ....0.0.1.0......0.1.0.1......0.1.0.1......1.0.1.1......0.1.1.0......0.1.0.0

%e ...0.1.1.0.1....1.0.0.1.0....1.0.0.1.0....0.1.0.1.0....0.1.0.1.0....1.0.0.1.1

%e ..1.0.0.1.1.0..0.0.1.0.1.0..0.0.1.0.1.0..1.0.1.0.1.1..1.1.0.1.0.1..1.0.1.0.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 03 2011

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Last modified June 23 07:38 EDT 2021. Contains 345395 sequences. (Running on oeis4.)