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

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

%S 1,4,22,216,3947,122529,6627405,625861278,105953231415

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,1,0,0,1,1 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 1's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 1's, every 6 is next to 6 1's

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

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

%e .......1.1............0.4............2.0............1.0............0.1

%e ......1.6.1..........3.0.0..........1.1.1..........1.1.1..........1.5.1

%e .....0.1.1.0........0.2.0.2........0.5.1.2........0.5.1.2........2.1.1.0

%e ....0.4.1.1.1......1.1.1.1.1......1.1.1.0.0......1.1.1.0.0......0.0.1.1.1

%e ...3.0.0.1.5.1....1.6.1.5.1.0....1.6.1.4.0.3....1.6.1.3.4.3....0.4.3.1.6.1

%e ..1.0.0.2.1.0.1..0.1.1.0.1.2.0..0.1.1.0.0.3.0..0.1.1.0.0.0.0..0.3.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011