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A197941 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,2,0,1,1,0 for x=0,1,2,3,4,5,6 0

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

%S 1,2,8,59,758,16589,691050,49864703,6407474303,1486385754054

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

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

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

%e ........2..............2..............0..............0..............0

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

%e ......3.0.0..........0.0.3..........1.5.1..........1.5.1..........1.5.1

%e .....0.0.6.0........0.6.0.0........4.1.0.0........4.1.3.0........4.1.0.0

%e ....0.1.0.0.1......1.0.0.1.1......1.1.0.6.0......1.1.0.0.3......1.1.0.0.3

%e ...1.5.1.1.5.1....1.5.1.1.5.1....1.5.0.0.0.2....1.5.0.6.0.2....1.5.0.6.0.2

%e ..0.1.1.4.1.1.0..0.1.1.4.1.0.0..0.1.1.3.0.2.2..0.1.1.0.0.2.2..0.1.1.0.0.2.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011

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