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A186567 Number of (n+2)X10 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock 1

%I #5 Mar 31 2012 12:36:05

%S 35198,4795,8029,18415,33445,44887,60973,82783,112357,168727,255085,

%T 381007,587317,891271,1333501,2082015,3198533,4843447,7513549,

%U 11527567,17482837,26985511,41409053,63004927,97035813,148936471,227092333

%N Number of (n+2)X10 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

%C Column 8 of A186568

%H R. H. Hardin, <a href="/A186567/b186567.txt">Table of n, a(n) for n = 1..163</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+2*a(n-3)-4*a(n-4)+2*a(n-5)+2*a(n-6)-2*a(n-7) for n>16

%e Some solutions for 4X10

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2011

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Last modified April 24 17:02 EDT 2024. Contains 371962 sequences. (Running on oeis4.)