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A192487 Half the number of n X n X n triangular binary arrays with every element equal to at most 5 neighbors. 1

%I #7 Mar 07 2022 14:22:43

%S 1,4,32,504,15704,967040,117706400,28318463392,13466466727872,

%T 12657620455508224,23516077513008447744,86355918572493456505728,

%U 626806864356196966410513920,8992693476394949632573847880832

%N Half the number of n X n X n triangular binary arrays with every element equal to at most 5 neighbors.

%H R. H. Hardin, <a href="/A192487/b192487.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for 5 X 5 X 5 with a(1,1) = 0

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

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

%e ....0.1.1......0.1.1......0.1.1......0.1.0......1.1.1......1.0.0......0.0.1

%e ...1.1.1.1....1.0.1.1....0.0.1.1....1.1.0.0....1.0.1.1....1.1.0.0....1.0.0.1

%e ..0.1.0.1.0..1.0.0.1.0..1.0.0.0.0..1.0.1.0.0..1.0.1.0.0..0.0.1.1.0..0.0.0.1.1

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 02 2011

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