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A214545 Number of 7X7X7 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.

%I A214545 #5 Jul 22 2025 23:17:54
%S A214545 2,461465,6042900,292689331,3442622120,39956910039,323258584792,
%T A214545 2193244910385
%N A214545 Number of 7X7X7 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
%C A214545 Row 7 of A214540
%e A214545 Some solutions for n=2
%e A214545 ........1..............1..............1..............1..............1
%e A214545 .......0.2............0.2............0.2............0.2............0.2
%e A214545 ......0.1.2..........0.2.1..........1.0.2..........1.0.2..........0.1.2
%e A214545 .....0.1.1.2........0.2.1.1........2.0.2.0........1.0.1.2........0.1.1.2
%e A214545 ....1.0.1.1.2......1.0.2.1.1......1.2.0.2.0......1.2.0.2.0......0.1.1.1.2
%e A214545 ...1.0.2.1.0.2....1.1.0.2.1.1....1.2.0.1.2.0....1.2.1.0.2.0....0.2.1.0.2.1
%e A214545 ..2.0.0.2.0.1.2..0.1.0.2.1.2.1..0.2.2.0.2.0.1..1.2.1.0.1.2.0..0.2.2.0.0.2.1
%K A214545 nonn
%O A214545 1,1
%A A214545 _R. H. Hardin_ Jul 20 2012