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

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

%S 1,4,13,70,623,8251,175624,6025175,328086179,28548905232

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

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

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

%e .......1.1............0.0............0.0............1.1............0.0

%e ......1.4.1..........0.6.0..........0.6.0..........0.3.0..........0.6.0

%e .....3.0.0.3........0.0.0.3........3.0.0.3........0.5.0.3........3.0.0.0

%e ....0.0.0.0.0......3.0.5.0.1......0.3.5.0.1......0.0.0.0.1......1.0.0.5.0

%e ...0.6.0.5.3.1....1.0.0.3.4.1....1.3.0.0.4.1....0.6.0.0.4.1....1.4.0.0.3.1

%e ..0.0.0.0.0.1.2..2.1.3.0.1.1.0..2.1.0.3.1.1.0..0.0.0.3.1.1.0..0.1.1.3.0.1.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011