A197951 - OEIS

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

%S 1,1,7,72,1045,34736,2260659,267327524,64601028921,30441597686957

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

%C Every 0 is next to 0 5's, every 1 is next to 1 5's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 0'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............0.4............0.0............0.4............1.1

%e ......1.5.1..........0.0.0..........0.6.0..........0.0.0..........1.5.1

%e .....0.1.3.0........0.0.6.0........0.0.0.0........0.6.0.0........0.3.1.0

%e ....0.0.0.0.3......1.1.0.0.0......4.0.3.1.1......0.0.0.1.1......0.0.0.3.0

%e ...0.0.6.0.2.0....1.5.3.0.0.3....0.0.3.2.5.1....3.0.0.3.5.1....0.6.0.4.2.0

%e ..0.4.0.0.3.0.0..0.1.1.0.3.2.0..0.3.2.0.1.1.0..0.2.3.0.1.1.0..0.0.0.0.0.3.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 19 2011