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

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

%S 1,4,25,209,6570,247394,22594350,4188338350,1447419327947

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

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

%e .......1.1............2.1............2.1............4.0............1.2

%e ......0.0.0..........1.5.1..........1.5.1..........0.0.0..........1.5.1

%e .....0.0.2.1........3.1.1.2........3.1.1.2........0.0.2.1........2.1.1.3

%e ....0.6.0.1.3......1.2.0.0.0......1.2.0.0.0......0.6.0.1.3......0.0.0.2.1

%e ...0.0.0.1.5.1....1.0.0.6.0.4....0.0.0.6.0.4....2.0.0.1.5.1....1.0.6.0.0.0

%e ..0.4.0.2.1.1.2..1.2.0.0.0.0.0..0.0.4.0.0.0.0..1.1.0.2.1.1.2..1.2.0.0.4.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011