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A207161 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,0,2,0,0,0 for x=0,1,2,3,4,5,6 0

%I #4 Mar 31 2012 12:37:15

%S 1,4,15,82,807,14322,463561,26995708,2800506981,514508270257

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,0,2,0,0,0 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 0'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 0's

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

%e ........2..............0..............0..............0..............2

%e .......0.0............2.2............0.0............4.0............0.0

%e ......0.0.2..........0.4.0..........0.0.2..........0.0.0..........0.6.0

%e .....0.5.2.3........2.0.0.4........0.5.2.3........2.0.6.0........4.0.0.0

%e ....0.0.0.1.2......3.2.5.0.0......0.0.0.2.1......3.2.0.0.0......0.0.0.5.0

%e ...0.6.0.0.0.0....1.2.0.0.6.0....4.0.6.0.4.0....2.1.2.5.0.4....4.0.1.2.0.0

%e ..2.0.0.4.0.4.0..0.2.0.4.0.0.2..0.0.0.0.0.0.0..0.0.2.0.0.0.0..0.0.2.3.2.0.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 15 2012

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