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A214389 Number of 7X7X7 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 A214389 #5 Jul 22 2025 23:16:40
%S A214389 128,5247716,3183854216,405643523920,21313909250888,623154633711990,
%T A214389 11944886965820440,166092394781968922,1792145757381897992
%N A214389 Number of 7X7X7 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 A214389 Row 7 of A214384
%e A214389 Some solutions for n=3
%e A214389 ........0..............0..............0..............0..............0
%e A214389 .......0.1............0.1............0.1............0.1............0.1
%e A214389 ......1.0.1..........1.0.1..........1.0.1..........1.0.1..........1.0.1
%e A214389 .....1.0.1.0........1.0.1.0........1.0.1.0........1.0.1.0........1.0.1.0
%e A214389 ....1.0.1.2.0......1.0.1.0.1......1.0.1.0.2......0.1.0.1.0......1.0.1.3.0
%e A214389 ...1.0.2.0.2.0....2.1.0.2.0.1....1.0.2.0.2.3....0.3.0.1.2.0....1.3.0.3.2.0
%e A214389 ..1.0.3.0.2.0.2..3.1.0.1.3.0.1..1.0.1.3.0.3.1..2.0.3.0.2.0.3..0.2.3.0.3.0.1
%K A214389 nonn
%O A214389 1,1
%A A214389 _R. H. Hardin_ Jul 14 2012