A197961 - OEIS

%I #5 Mar 31 2012 12:36:31

%S 1,4,22,186,6317,175347,15968369,2419381757,643839941494

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

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

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

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

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

%e ......1.5.1..........0.6.0..........0.6.0..........1.4.1..........0.6.0

%e .....2.3.1.2........2.0.0.1........2.0.0.2........0.2.0.2........2.0.0.2

%e ....0.1.0.0.0......1.1.0.2.1......1.1.3.1.1......0.0.1.3.1......1.1.3.1.1

%e ...2.4.1.0.6.0....1.5.1.2.4.1....0.1.5.1.4.1....0.6.0.1.5.1....1.5.3.1.4.1

%e ..1.1.1.2.0.0.0..0.2.1.3.1.1.2..0.2.1.1.2.2.1..0.0.0.2.1.1.2..2.1.1.2.0.2.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011