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

%I #4 Mar 31 2012 12:37:15

%S 1,7,39,433,8739,299157,18392685,2000831273,383836993467,

%T 130672069239103

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

%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 2'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 7X7X7

%e ........2..............0..............0..............1..............0

%e .......0.0............1.1............2.2............0.2............0.0

%e ......0.5.0..........1.6.1..........0.4.0..........2.4.0..........0.5.0

%e .....0.3.0.0........0.1.1.0........3.2.2.0........0.2.2.0........0.0.3.0

%e ....1.1.2.0.2......0.2.1.3.0......0.0.1.1.1......0.0.1.1.1......2.0.2.1.1

%e ...1.6.1.2.4.2....2.4.2.0.5.0....0.5.3.1.6.1....0.5.3.1.6.1....2.4.2.1.6.1

%e ..0.1.1.0.2.0.0..0.2.0.3.0.0.2..2.0.0.0.1.1.0..2.0.0.0.1.1.0..0.0.2.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 15 2012