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%I
%S 1,4,22,216,3911,121953,6546321,615828252,103476283764
%N Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,1,0,0,1,1 for x=0,1,2,3,4,5,6.
%C Every 0 is next to zero 5's, every 1 is next to one 0, every 2 is next to two 1's, every 3 is next to three 0's, every 4 is next to four 0's, every 5 is next to five 1's, every 6 is next to six 1's.
%e Some solutions with all values from 0 to 6 for 7 X 7 X 7:
%e ........0..............0..............0..............0..............0
%e .......1.2............4.0............0.4............1.1............1.1
%e ......1.1.0..........0.0.2..........2.0.0..........1.6.1..........1.6.1
%e .....0.1.1.1........0.3.1.1........1.1.3.0........0.1.1.0........0.1.1.0
%e ....1.1.5.1.2......1.1.5.1.0......0.1.5.1.1......1.1.5.3.0......0.3.5.1.1
%e ...1.6.1.3.0.0....1.6.1.1.1.2....2.1.1.1.6.1....1.1.1.1.0.4....4.0.1.1.1.1
%e ..0.1.1.0.0.4.0..0.1.1.0.1.1.0..0.1.1.0.1.1.0..0.2.0.1.2.0.0..0.0.2.1.0.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 15 2012
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