A197921 - OEIS

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

%S 1,1,4,34,387,7146,271266,17975058,2117012924,449079964221

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

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

%e .......1.1............1.1............0.1............3.2............2.3

%e ......1.5.1..........1.5.1..........1.5.1..........0.0.3..........3.0.0

%e .....4.1.3.0........0.0.1.4........0.1.1.4........0.6.0.0........0.0.6.0

%e ....1.1.0.0.3......0.6.0.1.1......3.0.0.1.1......1.0.0.1.1......0.1.0.0.1

%e ...1.5.0.6.0.2....3.0.0.0.5.1....2.0.6.0.5.1....1.5.1.1.5.1....1.5.1.1.5.1

%e ..0.1.1.0.0.3.0..0.2.3.0.1.1.0..0.3.0.0.1.1.0..0.1.1.4.1.0.0..0.1.1.4.1.1.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 19 2011