A202765 - OEIS

%I #4 Mar 31 2012 12:36:52

%S 1,4,33,287,5993,194455,10889641,1119480833,191972138234,

%T 57635967295850

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

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

%e ........0..............1..............0..............1..............0

%e .......2.0............0.2............0.0............0.2............0.2

%e ......3.4.2..........0.0.2..........0.0.0..........0.0.1..........2.4.3

%e .....2.2.2.0........0.5.0.1........0.1.5.0........0.5.1.0........0.2.2.2

%e ....0.0.0.1.0......2.2.0.0.0......2.2.0.0.0......0.0.0.2.2......0.5.0.0.0

%e ...0.6.0.5.0.1....0.4.2.0.6.0....0.4.2.0.6.0....0.6.0.2.4.0....2.0.0.0.6.0

%e ..2.0.0.0.0.2.1..0.2.3.2.0.0.2..0.2.3.2.0.0.0..0.0.0.2.3.2.0..1.1.0.0.0.0.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011