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Number of (5+1)X(n+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01
1

%I #4 Dec 01 2014 10:56:11

%S 1049,8812,49872,217634,790734,2510004,7189937,19018266,47251067,

%T 111715980,253943272,559554564,1203154060,2538190856,5276700889,

%U 10848708252,22120797741,44832823100,90470607368,182010260670

%N Number of (5+1)X(n+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01

%C Row 5 of A251268

%H R. H. Hardin, <a href="/A251272/b251272.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -77*a(n-2) +275*a(n-3) -660*a(n-4) +1122*a(n-5) -1386*a(n-6) +1254*a(n-7) -825*a(n-8) +385*a(n-9) -121*a(n-10) +23*a(n-11) -2*a(n-12)

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014