A203223 - OEIS

%I #4 Mar 31 2012 12:36:55

%S 1,5,23,193,3173,97448,5029351,468740231,79291081208

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

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

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

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

%e .......1.1............0.0............2.2............0.0............0.3

%e ......1.4.1..........0.0.0..........2.6.2..........0.5.0..........0.0.0

%e .....0.3.0.1........0.5.0.0........1.2.2.0........0.3.0.3........0.5.0.3

%e ....0.5.0.2.2......1.3.0.2.2......1.0.0.5.0......1.1.2.2.0......2.2.0.0.1

%e ...2.0.0.2.6.2....1.4.0.2.6.2....1.4.0.0.0.0....1.4.2.6.2.3....2.6.2.0.4.1

%e ..2.2.3.0.2.2.0..0.1.1.1.2.2.0..0.1.1.3.0.0.0..1.0.1.2.2.0.0..0.2.2.1.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011