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

%S 1,4,32,504,15616,952568,114398784,27047931336,12590229670016,

%T 11537734147704408,20815875785566075392,73936029515317194754512,

%U 517017017731619538916703104,7117718842091581424421976838888

%N Half the number of nXnXn triangular binary arrays with every element unequal to at most 5 neighbors

%H R. H. Hardin, <a href="/A192501/b192501.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for 5X5X5 with a(1,1)=0

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

%e .....0.0........0.1........0.0........1.1........1.1........0.0........0.1

%e ....1.0.1......1.1.1......1.0.1......1.1.1......0.0.1......0.0.0......0.1.1

%e ...1.0.1.0....0.0.1.0....0.0.1.1....1.0.1.0....1.1.1.0....0.0.1.1....1.0.0.1

%e ..1.1.1.1.0..1.0.1.1.1..0.1.1.0.0..1.0.0.0.1..0.1.0.1.1..1.1.1.0.0..1.1.0.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jul 02 2011