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

%I #6 Mar 31 2012 12:36:30

%S 1,7,25,409,14185,1029761,168151040,60063611063,47206720536227,

%T 81729461999719503

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

%C Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0'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 6X6X6

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

%e ......0.4..........0.0..........0.0..........1.1..........4.0..........1.1

%e .....0.0.0........0.6.0........0.6.0........0.0.3........0.0.1........3.0.0

%e ....0.6.0.0......4.0.0.3......0.0.0.0......0.6.0.0......0.6.0.1......0.0.6.0

%e ...1.0.0.5.0....0.0.5.0.1....4.0.5.3.1....0.0.0.5.1....1.0.0.5.0....0.5.0.0.4

%e ..2.1.0.3.0.0..0.0.3.0.1.2..0.0.0.0.1.2..0.0.4.0.0.1..2.1.3.0.0.0..0.3.0.4.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011