Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Mar 31 2012 12:36:31
%S 1,2,5,12,380,5266,190306,27564773,5837876758,2655396520136
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,2,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 2'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..............0
%e .......2.2............0.0............2.2............2.2............2.2
%e ......2.6.2..........0.5.0..........2.6.2..........2.6.2..........2.6.2
%e .....0.2.2.0........0.0.2.2........0.2.2.0........0.2.2.0........0.2.2.0
%e ....0.0.4.1.1......2.2.4.2.3......1.0.4.0.0......1.0.4.0.0......1.1.4.0.0
%e ...0.5.2.2.3.2....2.6.2.0.1.2....2.3.2.2.5.0....2.3.2.2.5.0....2.3.2.2.5.0
%e ..0.0.0.2.1.2.2..0.2.2.0.0.2.2..2.2.1.2.0.0.0..2.2.0.2.0.0.0..2.2.0.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011