A197992 - OEIS

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

%S 1,2,16,78,1557,58327,3432134,482064953,129436138615,67796772002632

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

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

%e .......0.0............0.0............0.0............0.4............0.0

%e ......0.0.0..........0.6.0..........4.0.0..........4.0.0..........0.0.0

%e .....0.0.6.0........4.0.0.0........0.0.6.0........0.0.6.0........0.5.4.0

%e ....0.0.0.0.1......0.0.5.1.1......0.5.0.0.1......4.0.0.0.1......0.0.0.1.1

%e ...4.0.5.1.3.2....0.6.0.0.3.2....1.1.0.1.3.2....0.0.5.1.3.2....0.0.6.0.3.2

%e ..0.0.0.0.1.2.2..0.0.0.0.1.2.2..0.3.1.0.1.2.2..0.4.0.0.1.2.2..0.0.0.0.1.2.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011