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A209041 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. 1

%I

%S 12,124,1300,13644,143212,1503212,15778340,165616044,1738375148,

%T 18246711388,191525101396,2010327432972,21101236121548,

%U 221487384867980,2324824070641124,24402324144347820,256136983080016460

%N Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it.

%C Column 2 of A209047.

%H R. H. Hardin, <a href="/A209041/b209041.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) - 5*a(n-2) - 3*a(n-3).

%F Empirical g.f.: 4*x*(1 - x)*(3 + x) / (1 - 11*x + 5*x^2 + 3*x^3). - _Colin Barker_, Jul 08 2018

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A209047.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 04 2012

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Last modified June 1 09:53 EDT 2020. Contains 334762 sequences. (Running on oeis4.)