A202761 - OEIS

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

%S 1,7,18,146,2128,28764,1064140,59594272,4526156600

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

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

%e .......0.0............2.0............1.1............2.0............1.1

%e ......0.6.0..........4.2.2..........2.3.1..........4.2.2..........1.3.2

%e .....0.0.0.2........2.2.0.2........0.0.0.2........2.2.0.2........2.0.0.0

%e ....2.0.5.2.4......0.0.5.0.1......0.0.5.0.2......0.0.5.0.1......2.0.5.0.0

%e ...1.3.0.0.2.2....0.6.0.0.3.1....0.6.0.2.2.0....0.6.0.0.3.1....0.2.2.0.6.0

%e ..0.1.1.2.2.0.0..2.0.0.0.2.1.0..2.0.0.2.4.2.0..0.0.0.0.2.1.0..0.2.4.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011