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A197624
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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,0,5,5,2,4 for x=0,1,2,3,4,5,6
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0
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%I #6 Mar 31 2012 12:36:30
%S 1,4,9,12,24,45,57,125,609,1161,4575,17459
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,0,5,5,2,4 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 5's, every 4 is next to 4 5's, every 5 is next to 5 2's, every 6 is next to 6 4's
%e Some solutions for 5X5X5
%e ......0..........2..........0..........2..........2..........0..........2
%e .....0.0........0.0........0.0........0.0........0.0........0.2........0.0
%e ....0.0.0......0.0.0......2.0.2......0.0.0......2.2.2......2.2.2......0.0.0
%e ...0.0.0.0....0.0.0.0....2.2.2.2....0.0.0.0....0.2.2.0....0.2.0.0....0.0.0.0
%e ..2.0.0.0.0..0.0.0.0.0..0.0.2.0.0..2.0.0.0.0..2.0.2.0.2..0.2.2.0.2..0.0.0.0.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 16 2011
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