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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,6,4,6,0,0,1 for x=0,1,2,3,4,5,6
0

%I #6 Mar 31 2012 12:36:30

%S 1,1,4,18,98,1460,35691,1385653,113578137,17175107452,4747357788947,

%T 2462207136693903

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,6,4,6,0,0,1 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 1's, every 1 is next to 1 6's, every 2 is next to 2 4's, every 3 is next to 3 6's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 1's

%e Some solutions for 5X5X5

%e ......0..........0..........0..........0..........0..........0..........0

%e .....0.0........0.0........0.0........0.0........0.0........0.0........4.0

%e ....2.4.0......0.5.0......0.4.2......4.0.0......4.0.0......4.0.0......0.0.0

%e ...0.4.0.4....0.5.0.0....4.0.4.0....0.0.0.0....0.0.0.4....0.0.0.4....0.0.0.0

%e ..0.0.0.0.0..0.0.0.0.0..0.0.0.0.0..0.0.0.4.0..0.4.0.0.0..0.0.0.0.0..0.4.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 16 2011