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

%I #4 Mar 31 2012 12:36:30

%S 1,1,19,277,8113,584747,84584638,27156929082,18818051940232,

%T 28191505077956117

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

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

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

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

%e ......0.0..........0.0..........4.0..........0.4..........1.1..........1.1

%e .....0.6.0........0.6.0........0.0.0........4.0.0........0.3.0........0.3.0

%e ....0.0.0.0......0.0.0.4......0.5.0.0......0.0.5.0......0.5.0.0......0.0.5.0

%e ...4.0.5.3.1....1.3.5.0.0....1.3.0.6.0....0.6.0.3.1....4.0.0.6.0....0.6.0.0.3

%e ..0.0.0.0.1.2..2.1.0.0.3.1..2.1.0.0.0.0..0.0.0.0.1.2..0.0.4.0.0.0..0.0.0.4.0.1

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 17 2011