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A194618 Half the number of lower triangles of a 5 X 5 0..n array with no element equal to the average of its horizontal and vertical neighbors.

%I A194618 #11 Jun 03 2025 18:36:22
%S A194618 849,571364,86867366,3703163910,73569838704,873084601728,
%T A194618 7416076339907,47683223919057,251059904306865,1116910109397146,
%U A194618 4348691274427714,15090969268080476,47709109611064061,138700124724207796
%N A194618 Half the number of lower triangles of a 5 X 5 0..n array with no element equal to the average of its horizontal and vertical neighbors.
%H A194618 R. H. Hardin, <a href="/A194618/b194618.txt">Table of n, a(n) for n = 1..18</a>
%e A194618 Some solutions for n=2
%e A194618 ..0..........0..........0..........0..........0..........0..........0
%e A194618 ..2.0........2.0........2.0........1.0........2.0........1.0........2.0
%e A194618 ..2.0.2......0.2.0......0.1.0......1.0.1......0.2.1......1.0.2......0.1.0
%e A194618 ..2.2.0.1....1.2.2.0....1.1.0.1....0.1.1.2....0.1.2.0....1.0.0.0....2.2.2.0
%e A194618 ..1.1.1.1.2..2.2.1.0.1..0.0.2.1.2..0.1.1.0.1..2.2.0.2.0..0.1.0.2.0..0.2.0.0.2
%Y A194618 Row 4 of A194615.
%K A194618 nonn
%O A194618 1,1
%A A194618 _R. H. Hardin_, Aug 30 2011