A197934 - OEIS

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

%S 1,4,15,154,2694,118229,11056555,1981194934,756494696303,

%T 582372249330804

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

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

%e .......0.0............0.0............4.0............0.0............4.0

%e ......0.6.0..........2.0.0..........0.0.0..........0.0.2..........0.0.2

%e .....1.0.0.0........3.2.5.0........0.0.6.0........0.5.2.3........0.5.2.3

%e ....0.4.0.5.0......1.2.0.0.4......0.5.0.0.0......0.0.0.2.1......0.0.0.2.1

%e ...0.0.1.2.0.0....0.4.0.6.0.0....4.0.2.2.4.0....0.6.0.0.4.0....0.6.0.0.4.0

%e ..2.0.2.3.2.0.0..2.0.0.0.0.0.0..0.0.2.3.1.0.0..2.0.0.4.0.0.0..2.0.0.4.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011