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A198042 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,0,0,1,2 for x=0,1,2,3,4,5,6 0

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

%S 1,5,26,267,5643,228812,17249959,2528177843,706177981671

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,0,0,1,2 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 0's, every 5 is next to 5 1's, every 6 is next to 6 2's

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

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

%e .......0.1............2.2............1.0............0.1............2.2

%e ......1.1.1..........2.6.2..........1.1.1..........1.1.1..........2.6.2

%e .....1.5.1.0........0.2.2.0........0.1.5.1........1.5.1.0........0.2.2.1

%e ....0.3.1.2.2......0.0.1.1.1......2.2.1.3.0......0.3.1.2.2......1.1.1.0.3

%e ...0.0.0.2.6.2....4.0.3.5.1.1....2.6.2.0.0.4....4.0.0.2.6.2....1.1.5.3.0.0

%e ..0.4.0.0.2.2.0..0.0.0.1.1.0.1..0.2.2.0.4.0.0..0.0.3.1.2.2.0..1.0.1.1.0.4.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011

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