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A208487 Number of (n+1) X 4 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to the number of counterclockwise edge increases. 1

%I #8 Oct 06 2015 21:43:39

%S 13800,773288,43689232,2473041560,140051200968,7932164084608,

%T 449271828443912,25446613122575176,1441290961315589072,

%U 81634469371271854648,4623762824135968860328,261889170973575575061248

%N Number of (n+1) X 4 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to the number of counterclockwise edge increases.

%C Column 3 of A208492.

%H R. H. Hardin, <a href="/A208487/b208487.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 107*a(n-1) - 3877*a(n-2) + 69003*a(n-3) - 688480*a(n-4) + 4042126*a(n-5) - 13877475*a(n-6) + 25524339*a(n-7) - 15376881*a(n-8) - 25497923*a(n-9) + 51893722*a(n-10) - 31287236*a(n-11) + 2987776*a(n-12) + 2213392*a(n-13).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2012

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Last modified April 16 11:35 EDT 2024. Contains 371711 sequences. (Running on oeis4.)