A203221 - OEIS

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

%S 1,4,13,192,3348,138856,12107039,1984499004,706287228121,

%T 496787163840091

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

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

%e .......1.1............1.1............0.4............1.3............1.1

%e ......3.3.2..........0.3.2..........0.0.0..........2.3.1..........0.3.2

%e .....1.1.3.1........1.1.3.1........0.6.0.1........1.3.1.0........1.1.3.1

%e ....0.0.0.1.0......0.0.0.1.0......0.0.0.1.0......0.1.0.0.0......0.0.0.1.0

%e ...0.0.6.0.5.0....0.6.0.0.5.0....0.5.1.3.3.1....0.5.0.6.0.0....0.0.6.0.5.0

%e ..0.4.0.0.0.0.0..0.0.0.4.0.0.0..0.0.0.1.2.1.0..0.0.0.0.0.4.0..0.4.0.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011