A198053 - OEIS

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

%S 1,4,22,156,4193,97526,6744216,772805931,160129766560

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

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

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

%e ........2..............2..............0..............2..............0

%e .......1.1............1.1............2.1............1.1............1.2

%e ......1.6.1..........1.6.1..........0.1.3..........1.6.1..........3.1.0

%e .....2.1.1.2........2.1.1.2........2.0.1.2........2.1.1.2........2.1.0.2

%e ....0.0.4.0.0......0.0.4.3.2......1.1.4.1.0......2.3.4.0.0......0.1.4.1.1

%e ...2.1.1.1.5.0....0.5.1.1.1.1....1.6.1.0.5.0....1.1.1.1.5.0....0.5.0.1.6.1

%e ..0.1.3.2.0.0.0..0.0.0.2.0.0.0..2.1.1.2.0.0.0..0.0.0.2.0.0.0..0.0.0.2.1.1.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011