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A183795 1/4 the number of (n+1)X3 0..3 arrays with no 2X2 subblock having sum 6 1

%I #5 Mar 31 2012 12:35:54

%S 706,31541,1405874,62693809,2795479074,124651925557,5558261214722,

%T 247844696877249,11051471811217570,492788608567408661,

%U 21973598568887362194,979809658227406787937,43690020145898739943394

%N 1/4 the number of (n+1)X3 0..3 arrays with no 2X2 subblock having sum 6

%C Column 2 of A183802

%H R. H. Hardin, <a href="/A183795/b183795.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=32*a(n-1)+611*a(n-2)-1696*a(n-3)-25173*a(n-4)+95128*a(n-5)+140335*a(n-6)-1227112*a(n-7)+2372316*a(n-8)-1955184*a(n-9)+601344*a(n-10)

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2011

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Last modified May 15 14:34 EDT 2024. Contains 372540 sequences. (Running on oeis4.)