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

%I #4 Mar 31 2012 12:37:04

%S 1,2,5,12,103,1026,16225,423136,19330620,1431173789

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

%C Every 0 is next to 0 1'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 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..............0..............0

%e .......0.0............3.1............0.0............0.0............0.0

%e ......0.6.0..........1.2.2..........0.0.2..........0.6.0..........2.0.0

%e .....0.0.0.0........2.4.2.0........0.5.2.2........0.0.0.0........2.2.5.0

%e ....2.2.0.5.0......2.2.0.0.0......0.0.0.4.1......0.5.0.2.2......1.4.0.0.0

%e ...1.2.4.2.0.0....0.0.5.0.6.0....0.6.0.2.2.3....0.0.2.4.2.1....3.2.2.0.6.0

%e ..1.3.1.2.2.0.0..0.0.0.0.0.0.0..0.0.0.0.2.1.1..0.0.2.2.1.3.1..1.1.2.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2012