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 A228981 Number of nX3 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..1 array. 1

%I

%S 8,64,512,3928,29808,224720,1690048,12696384,95336800,715737824,

%T 5372913760,40331981728,302748672960,2272541936960,17058477027072,

%U 128046595918720,961159748107520,7214778569757312,54156475472054656

%N Number of nX3 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..1 array.

%C Column 3 of A228986.

%H R. H. Hardin, <a href="/A228981/b228981.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -34*a(n-2) -16*a(n-3) +152*a(n-4) -116*a(n-5) -88*a(n-6) +136*a(n-7) -172*a(n-8) +168*a(n-9) -40*a(n-10) +32*a(n-11).

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 10 2013

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Last modified April 1 05:25 EDT 2023. Contains 361673 sequences. (Running on oeis4.)