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A232017 Number of n X 2 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. 1

%I

%S 3,22,121,704,4059,23422,135166,779977,4500958,25973244,149881402,

%T 864906711,4991036946,28801314179,166201073269,959081123649,

%U 5534480515641,31937313562863,184297694197368,1063509616098391

%N Number of n X 2 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.

%H R. H. Hardin, <a href="/A232017/b232017.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 13*a(n-2) + 16*a(n-3) + 7*a(n-4) + a(n-5).

%F Empirical g.f.: x*(1 + x)*(3 + x)*(1 + 3*x + x^2) / (1 - 3*x - 13*x^2 - 16*x^3 - 7*x^4 - x^5). - _Colin Barker_, Oct 01 2018

%e Some solutions for n=7:

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

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

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

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

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

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

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

%Y Column 2 of A232023.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013

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Last modified August 9 22:52 EDT 2020. Contains 336335 sequences. (Running on oeis4.)