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%I #4 Oct 29 2016 07:27:21
%S 0,18,204,9741,270291,8971150,280603511,8946059000,283436060320,
%T 8998418743638,285487168951921,9059457397078866,287466089870053015,
%U 9121814912567142070,289449332145382072648,9184699258737221554558
%N Number of nX4 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.
%C Column 4 of A277767.
%H R. H. Hardin, <a href="/A277763/b277763.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-1) -68*a(n-2) -2713*a(n-3) +19931*a(n-4) -62381*a(n-5) +266374*a(n-6) -1845409*a(n-7) +9104329*a(n-8) -30969250*a(n-9) +54500421*a(n-10) +53064621*a(n-11) -345542021*a(n-12) +212559402*a(n-13) +480699801*a(n-14) +192091281*a(n-15) -2417781956*a(n-16) -1829259971*a(n-17) +4066046894*a(n-18) -3571370030*a(n-19) +3097594269*a(n-20) +5886612097*a(n-21) +1760414929*a(n-22) -275686906*a(n-23) -16985592806*a(n-24) +12147734232*a(n-25) -9614561545*a(n-26) +9010271063*a(n-27) +2069102963*a(n-28) -2314404621*a(n-29) -6065137060*a(n-30) +4076313465*a(n-31) +1271741772*a(n-32) -122381968*a(n-33) -1122738002*a(n-34) +138695692*a(n-35) +82444184*a(n-36) +98140208*a(n-37) -28064564*a(n-38) -7818348*a(n-39) -4302760*a(n-40) +3035424*a(n-41) -160928*a(n-42) -59072*a(n-43) -1152*a(n-44) for n>45
%e Some solutions for n=4
%e ..0..1..2..0. .0..1..0..1. .0..1..2..0. .0..1..2..0. .0..1..2..0
%e ..2..0..1..1. .2..2..2..2. .2..2..2..1. .2..0..1..1. .2..2..2..1
%e ..1..0..0..2. .1..2..0..1. .1..0..0..2. .0..2..0..1. .2..0..1..0
%e ..2..1..2..1. .0..0..0..2. .0..2..1..1. .1..0..0..2. .1..2..2..2
%Y Cf. A277767.
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 29 2016
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