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

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

%S 1,7,28,287,17975,689715,104189110,37047634987,20232260136382

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

%C Every 0 is next to 0 3's, every 1 is next to 1 1'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 0'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............1.1............0.0............1.0............0.1

%e ......0.6.0..........0.2.0..........0.6.0..........0.0.4..........4.0.0

%e .....4.0.0.1........4.0.0.4........1.0.0.4........0.0.0.0........0.0.6.0

%e ....0.0.5.2.1......0.0.6.0.0......3.1.0.0.0......0.6.0.5.0......0.0.0.0.0

%e ...1.2.0.0.2.0....1.5.0.0.2.1....1.2.0.1.5.0....0.0.0.0.2.1....1.2.0.5.0.1

%e ..1.3.1.1.0.1.1..1.0.0.1.1.3.1..1.0.0.1.0.0.0..0.0.0.1.1.3.1..1.3.1.1.0.1.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011