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

%I #4 Mar 31 2012 12:37:15

%S 1,4,10,72,793,16137,551329,32665248,3413776221

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

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

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

%e ........1..............0..............0..............0..............0

%e .......0.1............1.1............3.0............1.1............0.3

%e ......1.5.1..........1.6.1..........2.0.3..........1.6.1..........3.0.2

%e .....1.1.1.0........0.1.1.0........0.3.0.1........0.1.1.0........1.0.3.0

%e ....3.0.4.1.1......2.3.4.1.1......1.1.4.1.1......1.1.4.3.2......1.1.4.1.1

%e ...0.0.3.1.6.1....3.0.0.1.5.1....1.6.1.1.5.0....1.5.1.0.0.3....0.5.1.1.6.1

%e ..0.3.2.0.1.1.0..0.0.3.1.1.0.1..0.1.1.0.1.1.1..1.0.1.1.3.0.0..1.1.1.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 15 2012