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A195214 Number of lower triangles of an n X n integer array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by 2 or less and triangles differing by a constant counted only once.

%I A195214 #8 Jul 22 2025 12:40:12
%S A195214 1,19,1047,176471,92031109,149824887097,764465228592699,
%T A195214 12257873230432791803,618761146282316127586145,
%U A195214 98449515559059678433241253935,49416410864494101822050533251357921
%N A195214 Number of lower triangles of an n X n integer array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by 2 or less and triangles differing by a constant counted only once.
%C A195214 Column 2 of A195220
%H A195214 R. H. Hardin, <a href="/A195214/b195214.txt">Table of n, a(n) for n = 1..12</a>
%e A195214 Some solutions for n=5
%e A195214 ...0...............0...............0...............0...............0
%e A195214 ...2..1...........-2.-1............1..0............0..1............0..1
%e A195214 ...0..2..2.........0..0.-1.........0..2..2........-1..1..3.........1..0..0
%e A195214 ...2..1..2..1......2..1..1..1......1..1..1..0......1..1..2..1.....-1.-1..1..2
%e A195214 ...2..0..1..2..0...1..0..1..3..1...3..3..1..0..1...2..0..2..0..2..-2..0..0..2..2
%K A195214 nonn
%O A195214 1,2
%A A195214 _R. H. Hardin_ Sep 13 2011