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 A198158 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,2,1,2,2,0 for x=0,1,2,3,4,5,6 0

%I #4 Mar 31 2012 12:36:33

%S 1,2,17,113,2211,79220,4456377,560699301,127364497803,52948639902295

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

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

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

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

%e .......0.0............2.2............0.0............3.1............1.3

%e ......0.6.0..........2.5.2..........0.6.0..........1.2.2..........2.2.1

%e .....0.0.0.0........2.4.2.0........0.0.0.0........0.2.5.2........2.5.2.0

%e ....1.2.2.2.2......2.5.2.0.0......2.2.2.2.1......0.0.2.4.2......2.4.2.0.0

%e ...3.2.5.4.5.2....1.2.2.0.6.0....2.5.4.5.2.3....0.6.0.2.5.2....2.5.2.0.6.0

%e ..1.1.2.2.2.2.0..1.3.1.0.0.0.0..0.2.2.2.2.1.1..0.0.0.0.2.2.0..0.2.2.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2011

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