A231139 - OEIS

%I #6 Jun 07 2021 15:18:09

%S 100,1470,22870,352444,5441634,83985430,1296319964,20008457170,

%T 308827818618,4766712219328,73573516286674,1135596590433446,

%U 17527769351000652,270538587942685474,4175724025042070130

%N Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with upper left element zero.

%C Column 2 of A231144.

%H R. H. Hardin, <a href="/A231139/b231139.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +28*a(n-2) -83*a(n-3) -92*a(n-4) -342*a(n-5) +134*a(n-6) +890*a(n-7) +432*a(n-8) -32*a(n-9) +80*a(n-10) -320*a(n-11).

%e Some solutions for n=3

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

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

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

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

%Y Cf. A231144.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 04 2013