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

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

%S 1,5,23,190,3128,98103,5219891,503752197,89485444907

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

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

%e .......2.0............2.2............0.1............0.0............0.0

%e ......2.2.0..........0.3.0..........2.1.4..........0.6.0..........0.6.0

%e .....0.0.5.0........0.0.5.0........2.2.1.1........0.0.0.0........0.0.0.0

%e ....1.3.0.0.0......1.3.0.0.0......0.0.0.3.0......3.0.2.2.1......1.3.0.5.0

%e ...1.4.3.0.6.0....1.4.3.0.6.0....0.6.0.5.0.3....0.5.0.2.4.1....1.4.3.0.2.0

%e ..0.1.1.0.0.0.0..0.1.1.0.0.0.0..0.0.0.0.0.3.0..0.0.0.0.1.1.0..0.1.1.0.2.2.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011