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

%I #6 Mar 31 2012 12:36:30

%S 1,4,15,118,1410,30190,1180218,81842153,10130408182,2211726542134

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,0,1,0,0,0 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 1'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 6X6X6

%e .......1............0............0............1............2............2

%e ......3.1..........0.0..........4.0..........3.1..........0.0..........0.0

%e .....2.1.0........0.0.4........0.0.4........2.1.0........0.0.4........0.5.0

%e ....0.0.5.0......0.5.0.0......0.5.0.0......0.0.5.0......0.5.0.0......0.4.0.0

%e ...0.6.0.0.0....1.1.0.6.0....1.1.0.6.0....0.6.0.0.4....1.1.0.6.0....1.1.0.6.0

%e ..2.0.0.0.4.0..1.3.2.0.0.2..1.3.2.0.0.2..2.0.0.0.0.0..1.3.2.0.0.2..1.3.2.0.0.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011