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Number of (n+1)X(n+1) 0..2 symmetric matrices containing all values 0..2 with every 2X2 subblock having two or three distinct values, and new values 0..2 introduced in lower triangle row major order
1

%I #5 Mar 31 2012 12:37:34

%S 1,77,6229,1262225,726073329,1209785791625,5850732086362939,

%T 82137353908070795417,3347356112526068595635969,

%U 395998823277249889265284827949,135993026862887326817175277464490671

%N Number of (n+1)X(n+1) 0..2 symmetric matrices containing all values 0..2 with every 2X2 subblock having two or three distinct values, and new values 0..2 introduced in lower triangle row major order

%H R. H. Hardin, <a href="/A210811/b210811.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 26 2012