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A197993 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,5,2,0,0,0,2 for x=0,1,2,3,4,5,6 0

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

%S 1,2,11,118,2811,137304,13763054,2894774077,1268119967528,

%T 1154890807376002

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

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

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

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

%e .......3.0............0.3............0.4............0.3............0.0

%e ......0.2.2..........3.3.0..........1.0.0..........2.2.0..........0.5.0

%e .....0.2.6.2........0.0.4.0........0.5.0.0........2.6.2.0........3.0.1.0

%e ....0.0.2.2.0......1.5.0.2.2......0.0.0.2.2......0.2.2.0.0......0.4.0.2.2

%e ...0.5.0.0.4.0....0.0.0.2.6.2....3.4.4.2.6.2....4.0.3.0.5.0....2.2.0.2.6.2

%e ..0.1.0.4.0.3.0..0.0.0.0.2.2.0..0.0.0.0.2.2.0..0.0.3.0.0.1.0..0.2.0.0.2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011

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