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

%I #4 Mar 31 2012 12:37:15

%S 1,4,15,106,1305,32391,1555376,143960245,25735362359,8760118832676,

%T 5694607852912446

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

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

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

%e ......2.0.0..........0.6.0..........0.6.0..........2.0.0..........0.5.1

%e .....3.2.5.0........0.0.0.0........4.0.0.2........3.2.5.0........4.0.0.2

%e ....2.1.0.0.0......0.5.0.5.0......0.0.5.1.3......2.1.0.0.0......0.0.5.0.2

%e ...0.0.5.0.6.0....0.0.1.2.0.4....0.5.0.0.2.2....0.0.5.0.6.0....0.6.0.1.2.0

%e ..0.4.0.0.0.0.0..2.0.2.3.2.0.0..2.0.2.2.2.0.0..0.0.0.0.0.0.2..0.0.0.2.3.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 15 2012