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A203115 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,0,1,1,1 for x=0,1,2,3,4,5,6 0

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

%S 1,5,23,184,2621,66292,2739454,195971764,24658743287

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

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

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

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

%e .......0.3............3.0............0.1............1.1............1.0

%e ......2.2.0..........0.2.2..........1.1.1..........1.6.1..........1.1.1

%e .....0.2.1.1........1.1.2.0........1.5.1.0........0.1.1.0........0.1.5.1

%e ....1.1.4.5.1......1.5.4.1.1......0.1.4.1.1......2.2.4.1.1......1.1.4.1.0

%e ...1.6.1.1.1.0....0.1.1.1.6.1....3.2.2.1.6.1....0.2.1.5.1.1....1.6.1.2.2.3

%e ..0.1.1.0.1.1.1..1.1.1.0.1.1.0..0.0.2.0.1.1.0..0.3.0.1.1.0.1..0.1.1.0.2.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011

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