A192413 - OEIS

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

%S 2,8,64,968,28832,1671872,188562024,41430463144,17723539378064,

%T 14763059454475880,23944611669892140680,75620272070369667245120,

%U 465017414868882102745479712,5568018952998142584614666404696

%N Number of nXnXn triangular binary arrays with every 1 adjacent to at most 4 other 1s

%H R. H. Hardin, <a href="/A192413/b192413.txt">Table of n, a(n) for n = 1..18</a>

%e Some solutions for 5X5X5

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

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

%e ....1.1.1......1.0.1......0.1.1......1.1.0......0.0.0......1.0.1......1.1.0

%e ...1.0.1.0....0.0.1.0....1.1.0.1....0.0.1.1....1.1.1.1....0.0.1.1....0.0.0.0

%e ..0.0.0.1.1..1.0.0.0.0..0.0.0.0.1..1.1.1.1.1..0.0.1.0.1..1.0.0.1.0..0.0.0.1.0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 30 2011