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Number of (3+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
1

%I #4 Nov 09 2013 07:31:37

%S 7,15,100,311,1709,7973,37494,207123,1039577,5801570,32328791,

%T 180333889,1052960813,6036980691,35461369867,208542506549,

%U 1227636956922,7289753229789,43168317190255,256712609867030,1527296174594552

%N Number of (3+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Row 3 of A231463

%H R. H. Hardin, <a href="/A231466/b231466.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013