A197792 - OEIS

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

%S 1,5,23,181,2706,73791,3327225,267114439,38448796541

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,0,2,2,0 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 2's, every 3 is next to 3 0's, every 4 is next to 4 2's, every 5 is next to 5 2's, every 6 is next to 6 0's

%e Some solutions with all values from 0 to 6 for 8X8X8

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

%e ........2.2..............3.0..............0.1..............2.2

%e .......0.0.3............0.0.0............0.2.2............2.5.2

%e ......0.6.0.0..........0.6.0.0..........0.2.5.2..........1.2.4.2

%e .....3.0.0.0.0........0.0.0.0.0........0.0.2.4.2........3.0.2.5.2

%e ....0.2.2.2.2.2......0.2.2.2.2.0......3.0.0.2.5.2......0.0.0.2.2.0

%e ...0.2.5.4.1.0.2....3.2.5.4.5.2.0....3.0.6.0.2.2.1....3.0.6.0.0.0.0

%e ..1.1.2.2.2.2.2.0..0.0.2.2.2.2.0.0..0.0.0.0.0.0.0.1..1.0.0.0.0.3.3.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011