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A214378 Number of nXnXn triangular 0..2 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 A214378 #7 Jul 22 2025 23:15:34
%S A214378 3,14,94,890,11700,211760,5247716,177440488,8167458184,510966924026,
%T A214378 43400537295428,5000954304735070,781294621661114882,
%U A214378 165421229889151981502,47449951234009109621650
%N A214378 Number of nXnXn triangular 0..2 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 A214378 Column 2 of A214384
%H A214378 R. H. Hardin, <a href="/A214378/b214378.txt">Table of n, a(n) for n = 1..18</a>
%e A214378 Some solutions for n=3
%e A214378 ....1......1......0......0......1......1......2......2......0......1......1
%e A214378 ...2.1....0.2....0.1....1.0....1.0....1.0....2.1....2.1....0.2....2.1....2.0
%e A214378 ..2.0.2..0.1.2..1.0.1..0.2.0..1.0.2..0.1.0..2.1.2..0.2.1..0.2.1..0.2.1..0.2.0
%K A214378 nonn
%O A214378 1,1
%A A214378 _R. H. Hardin_ Jul 14 2012