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A203215 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,1,1,0,1,1 for x=0,1,2,3,4,5,6 0

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

%S 1,4,13,130,2131,43191,2051062,149510111,17690078280

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,1,1,0,1,1 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 1's, every 3 is next to 3 1's, every 4 is next to 4 0'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..............0

%e .......1.1............1.1............0.2............0.0............1.1

%e ......1.5.1..........1.6.1..........0.3.1..........0.4.0..........1.5.1

%e .....0.3.1.0........0.1.1.0........2.1.1.0........2.1.2.0........0.1.2.0

%e ....4.0.1.1.1......0.4.3.1.1......0.1.5.1.1......0.1.5.1.1......1.1.3.0.0

%e ...0.0.2.1.6.1....4.0.0.2.5.1....0.4.2.1.6.1....0.3.1.1.6.1....1.6.1.4.0.0

%e ..0.4.0.0.1.1.0..0.0.4.0.1.1.0..0.0.0.0.1.1.0..1.2.1.0.1.1.0..0.1.1.0.0.4.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011

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