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%I #4 Mar 31 2012 12:36:31
%S 1,4,9,59,315,3613,44435,897011,26043505,1091940422
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,0,1,2,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's, every 5 is next to 5 2's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................2................0................0
%e ........0.0..............0.0..............0.0..............0.0
%e .......2.0.0............0.6.0............0.6.0............2.2.2
%e ......2.2.2.2..........0.0.0.2..........0.0.0.2..........0.5.2.0
%e .....0.0.5.2.0........0.0.0.2.1........0.0.0.2.1........0.2.2.0.0
%e ....1.0.2.2.0.0......2.2.2.4.3.1......2.2.2.4.1.3......0.2.4.0.6.0
%e ...3.2.4.2.0.6.0....0.2.5.2.2.1.2....0.2.5.2.2.1.2....0.1.3.2.0.0.0
%e ..1.1.0.2.0.0.0.0..2.0.2.0.0.0.0.0..2.0.2.0.0.0.0.0..2.0.1.1.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011