A198002 - OEIS

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

%S 1,1,19,70,948,34816,1091162,119556031,17650368586

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

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

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

%e ........1..............2..............2..............2..............1

%e .......3.1............1.1............1.1............1.1............3.1

%e ......1.4.1..........3.4.3..........3.4.3..........1.3.0..........1.4.1

%e .....0.1.3.1........1.1.1.1........1.1.1.1........1.0.5.0........0.0.1.3

%e ....1.0.0.0.0......0.0.0.0.0......0.0.0.0.1......3.1.0.0.0......0.5.0.0.1

%e ...1.3.5.0.6.0....0.6.0.5.1.1....0.6.0.5.1.3....1.4.1.0.6.0....1.3.0.6.0.0

%e ..2.1.0.0.0.0.0..0.0.0.0.0.3.1..0.0.0.0.0.0.1..2.1.3.1.0.0.0..2.1.1.0.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 20 2011