A197996 - OEIS

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

%S 1,2,8,44,590,9466,311925,20440139,2099400825,413055176319

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

%C Every 0 is next to 0 6's, every 1 is next to 1 5's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0's, every 5 is next to 5 1'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 .......1.1............0.0............2.2............1.1............0.2

%e ......1.5.1..........2.0.4..........2.6.2..........1.5.1..........0.2.2

%e .....2.0.1.0........2.2.0.0........3.2.2.0........0.1.0.0........1.1.3.3

%e ....2.2.3.2.2......0.1.3.2.2......2.0.0.1.1......2.2.0.4.0......1.5.1.2.2

%e ...0.0.0.2.6.2....1.5.1.2.6.2....2.2.4.1.5.0....2.6.2.3.2.0....0.0.1.2.6.2

%e ..0.0.4.0.2.2.0..0.1.1.0.2.2.0..0.0.0.0.1.1.0..0.2.2.3.2.2.0..0.4.0.0.2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011