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A195252 Number of lower triangles of a 6X6 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.

%I A195252 #7 Jul 22 2025 12:42:47
%S A195252 2097152,10460353203,74236765958,192172956591,333437946202,
%T A195252 481573562101,631149414120,780949393809,930772855532,1080597742629,
%U A195252 1230422629726,1380247516823,1530072403920,1679897291017,1829722178114,1979547065211
%N A195252 Number of lower triangles of a 6X6 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
%C A195252 Row 6 of A195248
%H A195252 R. H. Hardin, <a href="/A195252/b195252.txt">Table of n, a(n) for n = 1..200</a>
%F A195252 Empirical: a(n) = 149824887097*n - 417651128341 for n>8
%e A195252 Some solutions for n=5
%e A195252 ..1............0............2............1............5............4
%e A195252 ..1.3..........0.1..........1.3..........0.2..........4.3..........4.2
%e A195252 ..2.2.2........1.2.0........3.3.5........0.1.0........2.4.2........3.4.3
%e A195252 ..3.4.4.2......2.1.0.0......2.4.3.4......1.1.2.0......4.3.2.0......2.2.2.2
%e A195252 ..2.3.2.3.4....0.0.1.1.1....2.2.2.2.3....0.2.0.0.2....5.4.2.2.2....0.1.0.0.1
%e A195252 ..3.2.3.2.4.3..1.2.2.3.2.0..0.1.3.3.3.1..1.1.2.1.2.2..3.4.3.2.2.0..1.1.2.2.1.1
%K A195252 nonn
%O A195252 1,1
%A A195252 _R. H. Hardin_ Sep 13 2011