A197718 - OEIS

%I #6 Mar 31 2012 12:36:30

%S 1,2,11,80,1162,32623,1615507,144988922,23856782383

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

%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 0's

%e All solutions with all values from 0 to 6 for 6X6X6

%e .......2............0............2............0............1............1

%e ......2.2..........0.0..........2.2..........0.0..........4.1..........1.4

%e .....0.0.3........0.6.0........3.0.0........0.6.0........1.1.0........0.1.1

%e ....0.5.0.0......1.0.0.3......0.0.5.0......3.0.0.1......0.0.5.0......0.5.0.0

%e ...1.1.0.6.0....4.1.5.0.2....0.6.0.1.1....2.0.5.1.4....0.6.0.0.2....2.0.0.6.0

%e ..1.4.1.0.0.0..1.1.0.0.2.2..0.0.0.1.4.1..2.2.0.0.1.1..0.0.0.3.2.2..2.2.3.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011