A195252 - OEIS

%I #5 Mar 31 2012 12:36:24

%S 2097152,10460353203,74236765958,192172956591,333437946202,

%T 481573562101,631149414120,780949393809,930772855532,1080597742629,

%U 1230422629726,1380247516823,1530072403920,1679897291017,1829722178114,1979547065211

%N 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 Row 6 of A195248

%H R. H. Hardin, <a href="/A195252/b195252.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 149824887097*n - 417651128341 for n>8

%e Some solutions for n=5

%e ..1............0............2............1............5............4

%e ..1.3..........0.1..........1.3..........0.2..........4.3..........4.2

%e ..2.2.2........1.2.0........3.3.5........0.1.0........2.4.2........3.4.3

%e ..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 ..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 ..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 nonn

%O 1,1

%A _R. H. Hardin_ Sep 13 2011