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A214388 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.

%I A214388 #6 Jul 22 2025 23:16:32
%S A214388 64,211760,29456216,1232720402,26006503128,348440388682,3366219398864,
%T A214388 25362185968956,157029012894616,828944557039482,3833275060600576,
%U A214388 15849568260464504,59538028097491232,205781154014135148
%N A214388 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 A214388 Row 6 of A214384
%H A214388 R. H. Hardin, <a href="/A214388/b214388.txt">Table of n, a(n) for n = 1..15</a>
%e A214388 Some solutions for n=3
%e A214388 .......0............0............0............0............0............0
%e A214388 ......0.2..........0.2..........0.2..........0.2..........0.2..........0.2
%e A214388 .....0.2.0........0.2.0........0.2.1........0.2.1........0.2.0........0.2.0
%e A214388 ....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 A214388 ...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 A214388 ..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 A214388 nonn
%O A214388 1,1
%A A214388 _R. H. Hardin_ Jul 14 2012