A198091 - OEIS

%I #4 Mar 31 2012 12:36:32

%S 1,5,14,87,1076,18288,851062,53145769,5147572134

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

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

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

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

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

%e ......0.4.1..........1.4.1..........1.4.1..........0.4.1..........2.6.2

%e .....1.1.1.0........3.1.0.1........0.1.2.2........1.1.1.0........0.2.2.1

%e ....1.5.3.2.2......1.5.1.2.2......1.3.2.6.2......1.5.3.2.2......1.3.1.0.1

%e ...0.1.1.2.6.2....0.1.1.2.6.2....1.5.1.2.2.0....0.1.1.2.6.2....1.5.1.4.1.1

%e ..1.1.1.0.2.2.0..1.1.1.0.2.2.0..0.1.1.0.1.1.1..1.3.1.0.2.2.0..0.1.1.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2011