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Number of triangular nXnXn arrays of occupancy after each element moves to some neighbor but without 2-loops and with no occupancy greater than 3.
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%I #8 Sep 14 2013 02:22:43

%S 0,1,47,4830,1686393,2096316167

%N Number of triangular nXnXn arrays of occupancy after each element moves to some neighbor but without 2-loops and with no occupancy greater than 3.

%C Column 3 of A217232

%e Some solutions for n=4

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

%e ....2.0......0.2......0.1......1.1......2.1......1.1......2.2......0.1

%e ...1.1.2....2.1.1....0.3.2....2.0.1....0.3.1....1.1.2....1.1.1....1.2.1

%e ..0.0.3.1..0.1.3.0..0.2.2.0..0.2.2.0..0.2.0.1..0.1.2.1..0.2.0.1..1.0.2.1

%K nonn,hard,more

%O 1,3

%A _R. H. Hardin_ Sep 28 2012