A231414 - OEIS

%I #4 Nov 08 2013 21:23:10

%S 71,1032,15125,221445,3245016,47557773,697029563,10216062982,

%T 149732672641,2194570662617,32164925750976,471428170136401,

%U 6909529986297263,101270156563366358,1484275287919713541

%N Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

%C Column 2 of A231419

%H R. H. Hardin, <a href="/A231414/b231414.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -28*a(n-2) -119*a(n-3) +373*a(n-4) +134*a(n-5) -268*a(n-6) -200*a(n-7)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013