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

%I #4 Mar 31 2012 12:37:04

%S 1,4,1,5,150,519,18789,823727,20037927,4513604604

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,4,1,1,1,1 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 4's, every 3 is next to 3 1'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 ........0..............0..............0..............0..............0

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

%e ......1.4.1..........1.6.1..........1.4.1..........3.5.1..........1.6.1

%e .....1.0.2.0........0.1.1.0........0.2.0.1........1.1.1.0........0.1.1.0

%e ....3.1.4.1.1......1.1.4.2.1......1.1.4.1.3......1.0.4.1.1......1.2.4.1.1

%e ...1.5.1.1.6.1....1.5.1.0.4.1....1.6.1.1.5.1....1.4.2.1.6.1....1.4.0.1.5.1

%e ..0.1.1.0.1.1.0..0.1.3.1.1.1.0..0.1.1.0.1.1.0..0.1.1.0.1.1.0..0.1.1.3.1.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2012