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

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

%S 1,1,25,149,2838,341621,23074917,4770466713,3230855421145

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

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

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

%e ........0..............0..............0..............0..............1

%e .......0.1............0.0............3.1............1.0............2.3

%e ......0.2.3..........0.5.0..........1.1.4..........3.0.0..........0.1.1

%e .....0.0.1.1........1.0.3.1........1.6.1.1........1.1.2.0........1.1.6.1

%e ....0.0.1.6.1......3.1.1.1.0......3.1.1.3.0......1.6.1.0.0......0.3.1.1.3

%e ...0.5.3.1.1.3....1.4.1.6.1.2....1.4.1.0.5.0....3.1.1.3.5.0....0.5.0.1.4.1

%e ..0.0.0.1.4.1.0..2.1.3.1.1.3.1..2.1.3.1.0.0.0..0.1.4.1.0.0.0..0.0.0.1.3.1.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 20 2011