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

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

%S 1,2,11,88,1756,55005,3706910,487165419,121319839455

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

%C Every 0 is next to 0 6's, every 1 is next to 1 4's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1'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 8X8X8

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

%e ........4.1..............2.2..............1.0..............1.4

%e .......1.1.2............1.0.1............4.1.1............0.1.1

%e ......1.5.2.2..........4.1.1.4..........1.1.1.4..........0.1.6.1

%e .....4.1.1.4.1........1.1.6.1.1........0.0.5.1.1........1.4.1.1.4

%e ....1.1.6.1.1.1......3.0.1.1.5.0......0.2.1.1.6.1......2.1.0.5.1.1

%e ...0.0.1.1.5.1.4....0.0.1.4.1.1.1....0.2.2.4.1.1.4....2.2.0.1.1.0.0

%e ..0.3.1.4.1.0.1.1..0.0.0.0.0.1.4.1..0.3.0.1.0.0.1.1..0.0.0.1.4.1.3.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011