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A198977 Number of nX3 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

%I A198977 #7 Jul 22 2025 13:07:29
%S A198977 2,34,1835,146286,12662226,1112962873,98102456246,8651794282083,
%T A198977 763087851014929,67305520316532514,5936469991284318525,
%U A198977 523607833526831199696,46183202315902474606576,4073445973766659727007243
%N A198977 Number of nX3 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.
%C A198977 Column 3 of A198982
%H A198977 R. H. Hardin, <a href="/A198977/b198977.txt">Table of n, a(n) for n = 1..200</a>
%F A198977 Empirical: a(n) = 116*a(n-1) -2685*a(n-2) +21394*a(n-3) -74475*a(n-4) +117904*a(n-5) -80343*a(n-6) +18090*a(n-7)
%e A198977 Some solutions with all values from 0 to 5 for n=4
%e A198977 ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..0....0..1..2
%e A198977 ..3..2..1....3..4..0....3..4..0....3..2..1....3..2..1....2..0..1....3..0..4
%e A198977 ..0..4..5....1..0..2....4..5..1....1..0..4....4..1..5....3..2..3....0..2..0
%e A198977 ..3..5..3....5..3..4....1..3..4....5..1..0....3..0..4....0..4..5....3..5..2
%K A198977 nonn
%O A198977 1,1
%A A198977 _R. H. Hardin_ Nov 01 2011