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A214356 Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.

%I A214356 #8 Jul 22 2025 23:15:21
%S A214356 16814,3778867,205613460,5193620491,79817831414,861351043995,
%T A214356 7118347901224,47699363705707,269726763260946,1325185747304093,
%U A214356 5782740500683900,22798874223531873,82318717666693690,275194896097342957
%N A214356 Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.
%C A214356 Row 6 of A214352
%H A214356 R. H. Hardin, <a href="/A214356/b214356.txt">Table of n, a(n) for n = 1..19</a>
%e A214356 Some solutions for n=1
%e A214356 .......0............0............1............0............1............0
%e A214356 ......0.0..........0.0..........1.0..........0.0..........0.1..........1.0
%e A214356 .....0.0.1........0.0.0........1.0.0........1.0.0........0.1.0........1.0.0
%e A214356 ....1.0.1.1......1.0.0.1......1.0.0.0......0.1.0.0......0.1.0.0......1.1.0.0
%e A214356 ...0.1.0.1.0....1.0.0.1.1....0.1.0.0.0....1.0.1.0.1....0.1.1.0.1....0.1.1.0.0
%e A214356 ..0.1.0.0.1.0..1.1.0.0.1.0..1.0.1.0.0.1..1.0.0.1.0.1..0.0.1.1.0.1..0.1.1.0.1.0
%K A214356 nonn
%O A214356 1,1
%A A214356 _R. H. Hardin_ Jul 13 2012