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%I #7 Mar 17 2023 01:42:39
%S 1,7,33,396,8882,319895,21619033,2684442127,597964964842
%N Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,1,0,1,1,0,0 for x=0,1,2,3,4,5,6.
%C Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 1'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 7 X 7 X 7
%e ........1..............1..............2..............0..............0
%e .......1.3............3.1............0.0............0.0............0.1
%e ......0.2.1..........1.2.0..........0.6.0..........0.6.0..........0.0.1
%e .....0.5.0.1........1.0.5.0........1.0.0.0........1.0.0.0........0.5.2.3
%e ....1.0.0.0.0......0.0.0.0.1......1.0.5.1.1......1.0.0.1.1......0.0.0.1.1
%e ...1.4.1.0.6.0....0.6.0.1.4.1....3.2.0.0.4.0....3.2.5.0.4.0....0.6.0.2.4.0
%e ..0.0.1.2.0.0.0..0.0.0.2.1.0.0..1.1.2.0.1.1.0..1.1.0.0.1.1.0..2.0.0.2.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 15 2012
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