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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,2,0,0,2 for x=0,1,2,3,4,5,6
0

%I #4 Mar 31 2012 12:36:55

%S 1,2,8,38,470,8287,289052,18346083,2073906873,428208650284

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,2,0,0,2 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2's

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......2.2............2.0............2.0............2.2............0.4

%e ......2.6.2..........2.2.0..........2.2.0..........2.6.2..........4.0.0

%e .....3.2.2.0........3.1.0.0........3.1.0.4........0.2.2.3........0.0.5.0

%e ....2.1.0.5.0......2.2.0.0.4......2.2.0.0.0......0.5.0.1.2......0.0.0.2.2

%e ...2.2.0.0.0.2....2.6.2.5.0.0....2.6.2.5.0.0....4.0.0.0.2.2....0.2.1.2.6.2

%e ..0.0.0.4.0.2.2..0.2.2.0.0.0.0..0.2.2.0.0.4.0..0.0.4.0.0.0.0..0.2.2.3.2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011