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

%I #4 Mar 31 2012 12:36:52

%S 1,7,39,398,7425,227653,12223523,1135502370,181653002661,

%T 50504518603881

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

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

%e Some solutions with all values from 0 to 6 for 7X7X7

%e ........0..............0..............0..............0..............2

%e .......0.0............1.1............1.1............1.1............0.0

%e ......0.6.0..........1.4.1..........1.4.1..........1.5.1..........0.6.0

%e .....3.0.0.0........0.2.0.3........3.0.2.0........0.1.2.0........3.0.0.0

%e ....1.0.3.2.1......1.1.3.0.0......0.0.3.1.1......1.2.3.0.0......1.0.3.2.1

%e ...1.4.2.1.5.1....1.5.2.0.6.0....0.6.0.2.5.1....1.4.0.0.6.0....1.4.2.1.5.1

%e ..0.1.1.0.1.1.0..0.1.1.0.0.0.2..0.0.0.0.1.1.0..0.1.1.3.0.0.0..0.1.1.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011