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Number of (n+1) X 5 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases.
1

%I #7 Dec 10 2015 02:12:03

%S 492,2430,12318,67944,380568,2158482,12281976,70022628,399463842,

%T 2279603796,13010464716,74259457206,423858388308,2419327070832,

%U 13809259294038,78821939400948,449908555238976,2568038752491042

%N Number of (n+1) X 5 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases.

%C Column 4 of A205823.

%H R. H. Hardin, <a href="/A205819/b205819.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -18*a(n-2) -83*a(n-3) +264*a(n-4) +171*a(n-5) -1140*a(n-6) +234*a(n-7) +2180*a(n-8) -1280*a(n-9) -1912*a(n-10) +1667*a(n-11) +624*a(n-12) -873*a(n-13) +32*a(n-14) +162*a(n-15) -31*a(n-16) -8*a(n-17) +2*a(n-18).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2012

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Last modified September 21 16:51 EDT 2024. Contains 376087 sequences. (Running on oeis4.)