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

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

%S 1,4,9,23,276,2955,54623,1864724,103400828,8959767090

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,0,2,2,1,0 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 0's, every 3 is next to 3 2's, every 4 is next to 4 2'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..............2

%e .......2.0............2.0............0.0............1.1............0.0

%e ......4.2.0..........4.2.0..........0.6.0..........1.5.1..........0.6.0

%e .....2.2.3.0........2.2.3.0........0.0.0.2........0.1.2.0........2.0.0.0

%e ....0.0.0.2.1......0.0.0.2.1......1.1.0.2.3......0.0.0.4.2......4.2.0.1.1

%e ...0.6.0.1.5.1....0.6.0.1.5.1....1.5.2.2.4.2....0.6.0.2.2.0....2.2.3.2.5.1

%e ..0.0.0.2.1.1.0..0.0.0.0.1.1.0..0.1.1.0.2.0.0..0.0.0.2.3.0.0..0.0.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011