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%I #4 Mar 31 2012 12:36:31
%S 1,5,14,84,1010,14730,541357,30164869,2205022165
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,1,1,1,2 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 2's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........2..............2..............0..............0..............0
%e .......2.2............2.2............2.2............2.2............1.1
%e ......1.1.0..........0.1.1..........2.6.2..........2.6.2..........4.1.3
%e .....0.1.5.1........1.5.1.0........1.2.2.0........0.2.2.1........1.1.0.1
%e ....2.2.1.1.4......4.1.1.2.2......3.0.1.1.1......1.1.1.0.3......0.5.1.2.2
%e ...2.6.2.0.1.1....1.1.0.2.6.2....1.1.1.5.1.2....2.1.5.1.1.1....2.1.1.2.6.2
%e ..0.2.2.1.1.3.0..0.3.1.1.2.2.0..0.1.4.1.0.2.2..2.2.0.1.4.1.0..2.2.1.0.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 20 2011
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