A203112 - OEIS

%I #4 Mar 31 2012 12:36:55

%S 1,5,32,587,24986,2436820,551552165,287595762556,346645264281800

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

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

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......1.0............1.1............0.1............2.2............2.2

%e ......0.1.3..........0.2.2..........1.0.1..........2.6.2..........2.6.2

%e .....0.0.0.0........0.2.6.2........1.0.5.0........0.2.2.0........0.2.2.0

%e ....2.2.0.5.0......3.0.2.2.0......2.2.0.0.3......0.0.0.1.1......0.5.0.4.0

%e ...2.6.2.0.4.0....0.1.4.0.5.0....2.6.2.4.3.0....2.0.5.0.0.0....0.0.0.0.3.1

%e ..0.2.2.0.3.0.0..0.1.0.0.0.0.0..0.2.2.0.0.1.1..2.2.0.3.0.4.0..0.1.1.0.3.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011