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Number of nXnXn triangular binary arrays with every 1 adjacent to at most 3 other 1s
1

%I #5 Mar 31 2012 12:36:20

%S 2,8,60,824,21280,1022040,91643432,15336064104,4787874872152,

%T 2789377524761800,3032271369669763160,6150768100618440101048,

%U 23280594893804537879907944,164422151276676325232016120472

%N Number of nXnXn triangular binary arrays with every 1 adjacent to at most 3 other 1s

%H R. H. Hardin, <a href="/A192412/b192412.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for 5X5X5

%e ......0..........0..........0..........0..........1..........1..........0

%e .....0.1........1.0........0.0........0.0........1.0........0.1........0.0

%e ....0.1.1......1.0.1......1.0.1......0.1.0......0.1.0......1.0.1......0.0.1

%e ...1.0.0.1....1.0.0.0....1.1.0.1....0.0.0.0....1.0.1.1....0.0.0.1....0.0.1.0

%e ..1.0.1.1.1..0.1.1.1.0..0.1.0.1.0..0.1.0.1.1..0.1.0.1.1..0.0.1.1.0..0.0.1.1.0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 30 2011