A203117 - OEIS

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

%S 1,7,24,208,2539,54394,1993507,127100730,14090201105,2730583715609

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

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

%e .......0.0............0.0............0.1............2.0............0.1

%e ......2.0.0..........0.6.0..........1.2.2..........3.2.0..........0.4.2

%e .....3.2.5.0........0.0.0.4........3.2.0.0........2.1.2.2........4.0.0.0

%e ....1.2.0.0.0......4.0.5.0.0......2.2.0.6.0......0.0.4.0.2......0.0.5.0.0

%e ...0.4.0.0.6.0....0.0.0.2.2.2....0.0.5.0.0.0....0.6.0.0.5.0....0.6.0.2.2.2

%e ..2.0.0.0.0.0.0..0.4.0.2.3.1.0..0.0.0.0.4.0.2..2.0.0.4.0.0.0..0.0.0.2.3.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011