A197851 - OEIS

%I #5 Mar 31 2012 12:36:31

%S 1,4,10,103,1487,43030,2321125,232682724,43647140344,15284990897875,

%T 9995202105923896,12206122815436711870

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

%C Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0'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 6X6X6

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

%e ......1.1..........1.1..........0.4..........3.0..........1.1..........0.0

%e .....0.0.3........0.0.0........0.0.0........0.4.0........0.4.0........0.4.3

%e ....3.5.0.0......0.6.0.0......0.6.0.3......0.0.5.0......0.0.0.0......0.5.0.0

%e ...0.0.0.6.0....0.0.0.5.3....1.0.0.5.0....0.6.0.0.1....0.6.0.5.0....1.0.0.6.0

%e ..0.0.4.0.0.0..0.4.0.0.0.0..2.1.3.0.0.0..0.0.0.3.1.2..0.0.0.3.0.0..2.1.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011