Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #5 Mar 31 2012 12:37:04
%S 1,2,11,112,2268,92150,7515148,1221031371,396806745111,257778320464215
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,6,2,0,0,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 6's, every 2 is next to 2 2's, every 3 is next to 3 0'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 with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......1.1............0.3............0.3............1.1............0.3
%e ......1.6.1..........3.0.2..........0.4.0..........1.6.1..........0.4.0
%e .....0.1.1.0........0.3.2.2........0.0.4.0........0.1.1.0........0.0.5.0
%e ....0.0.0.5.0......0.5.0.1.1......0.5.0.1.1......0.4.0.5.0......1.1.0.0.0
%e ...0.5.4.0.0.2....4.0.0.1.6.1....2.3.0.1.6.1....2.3.0.0.0.0....1.6.1.2.0.0
%e ..0.0.0.3.0.2.2..0.0.0.0.1.1.0..2.2.0.0.1.1.0..2.2.0.4.0.4.0..0.1.1.2.2.3.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 21 2012