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Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors
1

%I #4 Jul 14 2012 21:45:28

%S 64,211760,29456216,1232720402,26006503128,348440388682,3366219398864,

%T 25362185968956,157029012894616,828944557039482,3833275060600576,

%U 15849568260464504,59538028097491232,205781154014135148

%N Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors

%C Row 6 of A214384

%H R. H. Hardin, <a href="/A214388/b214388.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=3

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

%e ......0.2..........0.2..........0.2..........0.2..........0.2..........0.2

%e .....0.2.0........0.2.0........0.2.1........0.2.1........0.2.0........0.2.0

%e ....2.0.3.0......0.1.2.0......0.2.1.0......0.2.0.1......2.0.2.0......0.3.0.2

%e ...1.3.0.3.0....1.0.2.0.2....0.2.1.0.3....1.0.3.0.1....2.0.3.0.1....3.0.3.0.3

%e ..1.3.2.0.3.0..1.0.2.0.2.0..1.0.2.0.2.3..2.0.3.1.0.2..2.1.0.3.0.1..3.0.2.3.0.3

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 14 2012