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A198026 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,0,2,2,1 for x=0,1,2,3,4,5,6 0

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

%S 1,5,23,181,2658,73719,3475863,310712097,52428144959

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

%C Every 0 is next to 0 5'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 2'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..............0

%e .......2.2............0.3............2.2............1.1............1.1

%e ......2.0.2..........2.2.0..........2.0.2..........1.6.1..........1.6.1

%e .....2.4.2.0........2.0.2.0........0.2.4.2........0.1.1.0........0.1.1.0

%e ....2.5.2.1.1......2.4.2.1.1......1.1.2.5.2......0.2.2.2.2......2.2.2.2.0

%e ...0.2.2.1.6.1....2.5.2.1.6.1....1.6.1.2.2.0....3.2.0.4.5.2....2.5.4.5.2.3

%e ..0.3.0.0.1.1.0..0.2.2.0.1.1.0..0.1.1.0.0.3.0..0.0.2.2.2.2.0..0.2.2.2.2.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011

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