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%I #5 Mar 31 2012 12:36:32
%S 1,1,7,51,580,14960,692710,57268094,9248071023,2766940534117,
%T 1541427833628443
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,4,0,0,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 5's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 1's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......0.0............1.1............0.0............0.0............0.0
%e ......0.6.0..........1.5.1..........0.6.0..........0.6.0..........0.4.0
%e .....0.0.0.0........0.3.1.0........0.0.0.0........0.0.0.0........0.2.4.0
%e ....0.4.0.3.1......0.0.0.0.0......1.3.0.4.0......1.1.0.4.2......1.1.0.0.0
%e ...0.4.2.1.5.1....0.6.0.4.4.0....1.5.1.2.4.0....1.5.3.0.4.0....1.5.3.0.6.0
%e ..0.0.0.0.1.1.0..0.0.0.0.2.0.0..0.1.1.0.0.0.0..0.1.1.0.0.0.0..0.1.1.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 21 2011
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