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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,1,1,1,1,1 for x=0,1,2,3,4,5,6
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%I #4 Mar 31 2012 12:36:31

%S 1,1,1,25,121,409,28601,2265417,65067529,5916637353,2741353552969,

%T 803210214721929

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

%C Every 0 is next to 0 5's, every 1 is next to 1 5's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 1's

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

%e ........2..............0..............2..............0..............0

%e .......1.1............1.2............1.1............1.1............2.1

%e ......2.5.1..........1.5.1..........1.5.2..........1.5.2..........1.5.1

%e .....2.1.1.3........4.1.1.4........4.1.1.3........3.1.1.0........4.1.1.3

%e ....2.1.6.1.2......1.1.6.1.1......1.1.6.1.1......2.1.6.1.2......1.1.6.1.2

%e ...1.5.1.1.5.1....1.5.1.1.5.2....1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1

%e ..0.1.1.4.1.1.2..2.1.2.3.1.1.0..0.2.1.0.1.2.0..0.1.1.4.1.1.2..0.1.2.3.1.1.2

%K nonn

%O 1,4

%A _R. H. Hardin_ Oct 20 2011