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A232293 Number of nX6 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.

%I A232293 #6 Jul 23 2025 07:15:55
%S A232293 73,22387,5546705,1370434057,339565321435,84130295708483,
%T A232293 20843967523877175,5164265865545602229,1279489656786836660869,
%U A232293 317004164359535173194891,78540408423251444575629653
%N A232293 Number of nX6 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.
%C A232293 Column 6 of A232295
%H A232293 R. H. Hardin, <a href="/A232293/b232293.txt">Table of n, a(n) for n = 1..210</a>
%F A232293 Empirical: a(n) = 207*a(n-1) +9931*a(n-2) +49471*a(n-3) -1970447*a(n-4) -6338773*a(n-5) +175960715*a(n-6) -920603783*a(n-7) -9449384612*a(n-8) +145531618442*a(n-9) -242636870053*a(n-10) -2073861584922*a(n-11) +3341837975848*a(n-12) +58042789695847*a(n-13) -343777801220144*a(n-14) +882129513880321*a(n-15) -1108971977347717*a(n-16) +277063354526591*a(n-17) +921996939442577*a(n-18) -705353078988810*a(n-19) -550826901103545*a(n-20) +699774378854433*a(n-21) +136394086403249*a(n-22) -337136081814506*a(n-23) -23122145009777*a(n-24) +111483169768110*a(n-25) +4688253045824*a(n-26) -24580209914500*a(n-27) -2718319844797*a(n-28) +3515863975276*a(n-29) +809432679924*a(n-30) -285686783391*a(n-31) -152692917012*a(n-32) -22226924736*a(n-33) +778483008*a(n-34) +630478080*a(n-35) +74151936*a(n-36) +2985984*a(n-37) for n>38
%e A232293 Some solutions for n=2
%e A232293 ..2..2..0..2..1..2....1..2..0..1..2..2....1..2..1..1..2..2....1..2..1..0..2..2
%e A232293 ..0..1..2..0..2..1....1..2..1..1..1..0....1..2..2..1..2..1....1..2..2..1..1..2
%K A232293 nonn
%O A232293 1,1
%A A232293 _R. H. Hardin_, Nov 22 2013