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A197663
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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,3,5,1,5,0,0 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 1,1,13,49,567,15412,329372,21751339,2108724044,293878982370,
%T 87209877288093,39253957174939181
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,3,5,1,5,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 3's, every 2 is next to 2 5's, every 3 is next to 3 1's, every 4 is next to 4 5's, every 5 is next to 5 0's, every 6 is next to 6 0's
%e Some solutions for 5X5X5
%e ......0..........0..........0..........0..........0..........1..........0
%e .....0.0........1.0........0.0........0.0........1.1........3.1........0.0
%e ....0.1.1......3.1.0......1.1.0......0.0.0......0.3.1......0.1.0......0.0.0
%e ...1.3.0.3....1.0.1.1....3.0.3.1....0.0.1.1....1.0.0.0....3.1.1.3....0.1.0.0
%e ..0.0.1.1.1..0.0.1.3.0..1.1.1.0.0..0.0.0.3.1..1.3.1.0.0..1.1.0.1.1..1.3.1.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 17 2011
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