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%I #4 Mar 31 2012 12:37:04
%S 1,3,6,70,1694,19492,1373508,114092895,11345187570,4332229490711
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,1,1,1,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 0's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1'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 7X7X7
%e ........1..............1..............0..............0..............1
%e .......0.1............3.0............1.2............2.1............0.1
%e ......2.1.3..........1.1.2..........1.5.1..........1.4.1..........2.1.3
%e .....0.1.1.0........0.4.1.0........0.1.1.0........0.1.3.0........0.1.1.0
%e ....2.1.6.1.1......1.1.5.1.2......2.1.6.1.1......1.1.4.1.1......1.1.5.1.1
%e ...1.4.1.1.5.2....1.6.1.1.1.0....1.4.1.1.1.3....1.5.3.1.6.1....1.6.1.3.4.1
%e ..0.2.1.0.1.1.0..0.1.1.0.1.3.1..0.1.2.0.2.0.1..0.1.1.0.1.1.0..0.1.1.0.1.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 21 2012