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A184379 1/12 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing three of each value 1

%I #5 Mar 31 2012 12:35:59

%S 545,1494,4281,13616,55386,242370,1165496,6248040,34487190,195981866,

%T 1145052186,6737361360,39912443060,237978427224,1421256784506,

%U 8501521627826,50931916877226,305246808679080,1830112280897396

%N 1/12 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing three of each value

%C Column 2 of A184386

%H R. H. Hardin, <a href="/A184379/b184379.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=12*a(n-1)-47*a(n-2)+184*a(n-3)-1380*a(n-4)+5264*a(n-5)-12447*a(n-6)+56628*a(n-7)-206001*a(n-8)+396180*a(n-9)-1125036*a(n-10)+3788388*a(n-11)-6578172*a(n-12)+12197952*a(n-13)-36410148*a(n-14)+59740416*a(n-15)-75446640*a(n-16)+186268896*a(n-17)-295472448*a(n-18)+264166272*a(n-19)-475844544*a(n-20)+739031040*a(n-21)-485409024*a(n-22)+473651712*a(n-23)-725594112*a(n-24)+362797056*a(n-25)

%e Some solutions with a(1,1)=0 for 6X4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 12 2011

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Last modified April 24 14:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)