A197786 - OEIS

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

%S 1,4,18,209,4988,221443,19332957,3266183233,1068404830615,

%T 677798120112881,833288676199771911

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,6,0,0,0,0,1 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 0'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 6X6X6

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

%e ......0.3..........1.1..........1.1..........0.0..........0.0..........0.0

%e .....0.4.0........1.6.1........1.6.1........0.5.0........0.5.0........0.5.0

%e ....1.1.0.0......0.1.1.0......0.1.1.0......1.1.0.3......0.0.1.1......3.0.1.1

%e ...1.6.1.5.0....0.4.0.5.0....0.4.0.5.0....1.6.1.4.0....3.4.1.6.1....0.4.1.6.1

%e ..0.1.1.0.0.2..2.0.3.0.0.0..2.0.3.0.0.2..0.1.1.0.0.2..0.0.0.1.1.0..0.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011