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A183598 1/6 the number of (n+1)X5 0..2 arrays with every 2X2 subblock containing all three values.

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%I A183598 #7 Jul 22 2025 09:07:44
%S A183598 534,10797,201770,3831324,72592860,1376627608,26108240340,
%T A183598 495215814566,9393691937690,178194216929170,3380332407037684,
%U A183598 64125402470512942,1216476053110547726,23076960013228726054,437778595866783333858
%N A183598 1/6 the number of (n+1)X5 0..2 arrays with every 2X2 subblock containing all three values.
%C A183598 Column 4 of A183603
%H A183598 R. H. Hardin, <a href="/A183598/b183598.txt">Table of n, a(n) for n = 1..200</a>
%F A183598 Empirical: a(n)=29*a(n-1)-116*a(n-2)-2075*a(n-3)+10702*a(n-4)+51511*a(n-5)-261497*a(n-6)-510094*a(n-7)+2707193*a(n-8)+1565260*a(n-9)-12569843*a(n-10)+2644843*a(n-11)+22771798*a(n-12)-13641330*a(n-13)-14269732*a(n-14)+12528656*a(n-15)+1720808*a(n-16)-3240288*a(n-17)+392640*a(n-18)+109056*a(n-19)
%e A183598 Some solutions with a(1,1)=0 for 3X5
%e A183598 ..0..2..0..2..1....0..2..1..1..2....0..2..1..1..0....0..0..0..1..2
%e A183598 ..0..1..1..0..0....1..1..0..2..0....1..0..2..0..2....2..1..2..1..0
%e A183598 ..2..2..0..2..1....0..2..1..1..1....1..2..1..2..1....1..0..0..0..2
%K A183598 nonn
%O A183598 1,1
%A A183598 _R. H. Hardin_ Jan 05 2011