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%I #4 Mar 31 2012 12:36:31
%S 1,4,10,104,2091,34283,1753893,146268275,16031968421
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,1,1,1,2,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 2's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................1................0
%e ........1.1..............1.1..............0.1..............1.1
%e .......1.4.2............1.6.1............1.1.4............1.6.1
%e ......0.1.3.1..........0.1.1.0..........1.6.1.1..........0.1.1.0
%e .....0.2.2.1.0........0.2.2.2.1........0.1.1.0.1........1.3.4.1.2
%e ....1.1.2.5.2.1......1.1.2.5.2.2......1.2.2.3.1.2......3.3.1.2.2.1
%e ...1.6.1.2.2.3.1....2.4.1.0.2.1.2....2.2.5.2.1.3.0....1.1.0.2.5.2.0
%e ..0.1.1.0.1.1.0.1..0.1.3.1.1.2.0.1..0.1.2.1.0.1.2.1..0.3.1.1.2.1.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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