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%I #6 Dec 27 2023 00:41:01
%S 1,2,11,95,1963,70225,5408352,818404797,243161923228
%N Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,4,2,0,1,0,2 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 0's, every 6 is next to 6 2's.
%e Some solutions with all values from 0 to 6 for 7 X 7 X 7
%e ........0..............0..............0..............0..............0
%e .......0.0............0.3............0.0............2.2............0.1
%e ......2.2.0..........2.2.0..........0.1.1..........2.6.2..........1.4.1
%e .....2.6.2.1........2.6.2.0........2.2.4.1........0.2.2.0........0.0.1.0
%e ....0.2.2.4.1......0.2.2.0.0......2.6.2.1.0......1.0.0.0.0......0.0.3.2.2
%e ...0.5.0.1.1.0....0.5.0.3.1.1....0.2.2.0.5.0....4.1.0.0.5.0....3.5.0.2.6.2
%e ..0.0.0.0.0.3.0..0.0.0.0.1.4.1..0.3.0.0.0.0.0..1.1.0.0.3.0.0..0.0.0.0.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 20 2011