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A235843 Number of (n+1) X (1+1) 0..3 arrays with the upper median unequal to the lower median in every 2 X 2 subblock. 1

%I #9 Oct 19 2018 08:08:32

%S 156,1584,16228,166816,1716484,17668128,181881988,1872430816,

%T 19276479364,198450294432,2043038387332,21033017293408,

%U 216534315178372,2229214808561184,22949705750645380,236266598507573728

%N Number of (n+1) X (1+1) 0..3 arrays with the upper median unequal to the lower median in every 2 X 2 subblock.

%H R. H. Hardin, <a href="/A235843/b235843.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) - 31*a(n-2) - 94*a(n-3) + 192*a(n-4) + 192*a(n-5).

%F Empirical g.f.: 4*x*(39 - 150*x - 278*x^2 + 848*x^3 + 768*x^4) / (1 - 14*x + 31*x^2 + 94*x^3 - 192*x^4 - 192*x^5). - _Colin Barker_, Oct 19 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 1 of A235849.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014

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Last modified March 29 10:59 EDT 2024. Contains 371277 sequences. (Running on oeis4.)