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%I #5 Mar 31 2012 12:36:31
%S 1,4,28,457,19312,1569476,297589596,128297106268,121501477787448
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,2,1,0,0,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 2's, every 2 is next to 2 1'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 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................2................1................0
%e ........0.0..............1.1..............1.2..............4.0
%e .......0.0.0............1.6.1............0.0.0............0.0.0
%e ......1.0.0.3..........2.1.1.2..........3.0.4.1..........1.3.4.0
%e .....2.0.0.0.2........0.0.0.0.2........2.0.0.2.0........2.0.3.0.2
%e ....1.0.4.3.1.1......0.4.2.1.1.1......1.1.4.0.1.1......1.0.4.0.1.1
%e ...1.5.1.0.1.6.1....2.1.0.1.5.1.0....1.6.1.0.1.5.2....1.5.1.0.1.6.1
%e ..2.1.1.2.2.1.1.2..0.1.0.3.0.1.2.0..2.1.1.2.2.1.1.0..2.1.1.2.2.1.1.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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