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A251263 Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01 1

%I

%S 57,313,1667,9109,49872,273607,1501739,8244503,45265163,248529844,

%T 1364574377,7492353561,41137689397,225871759293,1240178072856,

%U 6809359068477,37387672585765,205281890979411,1127126987808309

%N Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01

%C Column 3 of A251268

%H R. H. Hardin, <a href="/A251263/b251263.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +6*a(n-2) -55*a(n-3) +21*a(n-4) +97*a(n-5) -48*a(n-6) -52*a(n-7) +25*a(n-8) +5*a(n-9) -2*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014

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Last modified July 3 16:16 EDT 2022. Contains 355055 sequences. (Running on oeis4.)