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A184380 1/12 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing three of each value 1

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

%S 2174,4281,8936,21473,73139,280347,1245641,6472317,35048783,197315495,

%T 1149172427,6748374453,39939829709,238066583421,1421498562731,

%U 8502133995503,50933924269739,305252375007597,1830126491938301

%N 1/12 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing three of each value

%C Column 3 of A184386

%H R. H. Hardin, <a href="/A184380/b184380.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=12*a(n-1)-47*a(n-2)+186*a(n-3)-1404*a(n-4)+5358*a(n-5)-12815*a(n-6)+59388*a(n-7)-216529*a(n-8)+421074*a(n-9)-1238292*a(n-10)+4200390*a(n-11)-7370532*a(n-12)+14448024*a(n-13)-43986924*a(n-14)+72896760*a(n-15)-99842544*a(n-16)+259089192*a(n-17)-414953280*a(n-18)+415059552*a(n-19)-848382336*a(n-20)+1329975936*a(n-21)-1013741568*a(n-22)+1425340800*a(n-23)-2203656192*a(n-24)+1333615104*a(n-25)-947303424*a(n-26)+1451188224*a(n-27)-725594112*a(n-28)

%e Some solutions with a(1,1)=0 for 4X5

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 12 2011

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)