%I #11 Sep 25 2025 10:20:06

%S 40,1188,27313,573342,11451686,221410052,4182294415,77626332302,

%T 1421182695065,25734458996766,461813205678124,8225319344357866,

%U 145570937702109584,2562275384434847728,44887086267708866341,783101106222482644104,13612135618072381229222

%N Number of defective 3-colorings of an nX6 0..2 array connected horizontally and vertically with exactly one mistake and colors introduced in row-major 0..2 order.

%H R. H. Hardin, <a href="/A229457/b229457.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 60*a(n-1) -1482*a(n-2) +20016*a(n-3) -167163*a(n-4) +924894*a(n-5) -3537110*a(n-6) +9593166*a(n-7) -18693789*a(n-8) +26218062*a(n-9) -26188161*a(n-10) +18139608*a(n-11) -8262712*a(n-12) +2220864*a(n-13) -266256*a(n-14) for n>15

%e Some solutions for n=3

%e ..0..1..1..2..1..2....0..1..2..0..2..0....0..1..2..0..2..1....0..1..2..1..0..1

%e ..1..2..0..1..0..1....1..2..0..2..1..2....1..0..1..0..1..0....1..0..1..2..1..0

%e ..2..1..2..0..2..0....0..0..2..1..0..1....0..1..0..1..0..2....1..2..0..1..0..1

%Y Column 6 of A229460.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 24 2013