A198156 - OEIS

%I #5 Mar 31 2012 12:36:33

%S 1,4,10,116,2862,51686,4052747,435035530,65207007652,27807146172472

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,1,1,1,1,1 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 1'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..............1..............0

%e .......1.1............1.1............1.2............1.0............2.1

%e ......1.5.3..........1.6.1..........2.3.1..........3.1.2..........1.4.2

%e .....0.1.1.1........0.1.1.0........0.1.3.0........0.1.1.0........0.1.1.0

%e ....1.1.4.0.1......1.5.1.4.1......1.1.5.1.1......1.1.5.3.1......1.1.6.1.2

%e ...1.6.1.2.1.3....2.1.1.0.1.2....1.6.1.1.4.2....1.6.1.1.4.2....2.5.1.1.1.0

%e ..0.1.1.0.2.1.0..0.0.3.1.1.2.0..0.1.1.0.2.1.0..0.1.1.0.1.1.0..0.1.1.0.1.3.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2011