%I #11 Oct 03 2025 02:50:53

%S 243,98304,39133824,15564399648,6189975781728,2461751303097216,

%T 979037502950237760,389362817519503469280,154849434408870800843040,

%U 61583557179340633440836160,24491755680833694286332417792

%N 1/3 the number of nX6 0..2 arrays with no element equal both to the element above and to the element to its left.

%C Column 6 of A184694

%H R. H. Hardin, <a href="/A184691/b184691.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=483*a(n-1)-37260*a(n-2)+1406078*a(n-3)-32825379*a(n-4)+522499249*a(n-5)-5935275892*a(n-6)+48955308778*a(n-7)-292045494268*a(n-8)+1227794612112*a(n-9)-3438890819616*a(n-10)+5747863337984*a(n-11)-4538037229568*a(n-12)+808526872576*a(n-13)+1304252383232*a(n-14)-1133951057920*a(n-15)+395539644416*a(n-16)-52613349376*a(n-17)

%e Some solutions for 3X6 with a(1,1)=0

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2011