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

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

%S 1,1,7,64,859,25741,1390506,144068133,28038811204,10322783689890,

%T 7158209339360946

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

%C Every 0 is next to 0 6's, every 1 is next to 1 6's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 1's

%e Some solutions with all values from 0 to 6 for 6X6X6

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

%e ......0.0..........3.0..........1.1..........1.1..........1.1..........0.3

%e .....0.5.0........0.4.0........1.6.1........1.6.1........1.6.1........0.4.0

%e ....1.1.0.3......0.0.1.1......0.1.1.0......0.1.1.2......0.1.1.0......1.1.0.0

%e ...1.6.1.4.0....0.5.1.6.1....0.5.0.4.3....0.5.0.0.3....0.4.0.5.0....1.6.1.5.0

%e ..2.1.1.0.0.0..0.0.0.1.1.2..0.0.0.0.0.0..0.0.0.4.0.0..0.3.0.0.0.0..2.1.1.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 18 2011