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A183705 Number of (n+1)X5 0..3 arrays with every 2X2 subblock nonsingular 1

%I #5 Mar 31 2012 12:35:53

%S 409128,208772880,106093597920,53961750797424,27440831422595136,

%T 13954952466340976784,7096672408605671392416,

%U 3608961753073209868200240,1835310417510901571397984768,933333481699094358785391223248

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock nonsingular

%C Column 4 of A183710

%H R. H. Hardin, <a href="/A183705/b183705.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=280*a(n-1)+112580*a(n-2)+3492162*a(n-3)-819288385*a(n-4)-12793008650*a(n-5)+2892208505752*a(n-6)-40764002087564*a(n-7)-3347388386802251*a(n-8)+143992036050120492*a(n-9)-2105303984131021756*a(n-10)+4800567008428590850*a(n-11)+182742851553762560045*a(n-12)-1364110029736402568010*a(n-13)-5200934207479738964528*a(n-14)+61142874543395383890792*a(n-15)+100553502890870219473632*a(n-16)-1032217400773371826650672*a(n-17)-2029259347165494259181424*a(n-18)+2743207961236529270609952*a(n-19)+5097128258414084374606464*a(n-20)-1701928181673046183177728*a(n-21)-410351258133601815379968*a(n-22)

%e Some solutions for 3X5

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2011

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Last modified July 3 01:42 EDT 2024. Contains 373963 sequences. (Running on oeis4.)