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Number of n X n 0..3 symmetric matrices with every element equal to zero, one, two or three horizontal and vertical neighbors, and new values 0..3 introduced in lower triangle row major order
1

%I #6 Dec 18 2015 18:18:06

%S 1,5,172,38444,36567600,139088906848,2108407726540016,

%T 127364809805575916736,30660305986899859448541568,

%U 29412752846682454724638291977856

%N Number of n X n 0..3 symmetric matrices with every element equal to zero, one, two or three horizontal and vertical neighbors, and new values 0..3 introduced in lower triangle row major order

%H R. H. Hardin, <a href="/A210927/b210927.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=4

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

%e ..0..0..2..2....1..1..2..1....0..1..3..3....0..1..2..2....1..0..0..1

%e ..1..2..3..1....2..2..0..3....2..3..2..0....1..2..2..0....1..0..0..1

%e ..1..2..1..0....1..1..3..3....1..3..0..0....0..2..0..2....0..1..1..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 29 2012