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A198051 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,0,1,1,1,1 for x=0,1,2,3,4,5,6 0

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

%S 1,3,4,47,453,5584,308351,13078670,1255831278,258372554787

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

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

%e .......1.1............1.0............1.0............1.1............0.1

%e ......1.6.1..........1.1.2..........3.1.2..........1.6.1..........2.4.1

%e .....0.1.1.0........0.1.3.0........0.1.3.0........0.1.1.0........0.1.1.0

%e ....1.4.4.1.1......1.1.4.1.1......1.1.5.1.2......1.1.5.1.2......1.1.5.1.2

%e ...1.1.1.5.1.3....1.5.3.1.6.1....1.6.1.1.4.0....1.1.1.4.1.0....1.6.1.4.1.0

%e ..0.2.0.1.1.0.1..0.1.1.0.1.1.0..0.1.1.0.1.1.1..1.0.2.0.1.3.1..0.1.1.0.1.3.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011

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