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A197965 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,0,2,0,2 for x=0,1,2,3,4,5,6 0

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

%S 1,5,23,187,3126,99832,5396026,541886583,102749440940

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

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

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

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

%e .......0.0............1.0............0.0............0.0............0.0

%e ......0.5.0..........2.2.0..........0.2.2..........0.5.0..........0.5.0

%e .....3.0.2.2........2.6.2.0........1.2.6.2........2.2.0.0........0.0.2.2

%e ....1.0.2.6.2......0.2.2.4.2......2.4.2.2.0......0.2.4.2.2......3.0.2.6.2

%e ...1.2.4.2.2.0....0.5.0.3.2.2....2.2.3.0.5.0....0.0.0.2.6.2....0.2.4.2.2.1

%e ..0.2.2.0.0.3.0..0.0.0.0.0.0.0..1.0.0.0.0.0.0..0.0.3.1.2.2.0..1.2.2.0.0.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011

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