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Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.
1

%I #4 Jul 19 2016 07:40:56

%S 122,1024,1129,1651,6081,23313,90793,355258,1392050,5466938,21539426,

%T 85093786,336588196,1331473727,5265942503,20828817622,82420863039,

%U 326283110365,1291905762290,5114955533848,20248639590431,80153872862995

%N Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

%C Column 6 of A275183.

%H R. H. Hardin, <a href="/A275181/b275181.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -496*a(n-2) +4961*a(n-3) -35960*a(n-4) +201091*a(n-5) -902032*a(n-6) +3333981*a(n-7) -10358635*a(n-8) +27489359*a(n-9) -63147252*a(n-10) +127012656*a(n-11) -225853366*a(n-12) +357739737*a(n-13) -507298821*a(n-14) +645538311*a(n-15) -736806613*a(n-16) +752032038*a(n-17) -682548311*a(n-18) +546209109*a(n-19) -380703800*a(n-20) +226996531*a(n-21) -112609944*a(n-22) +44283885*a(n-23) -12407657*a(n-24) +1618639*a(n-25) +454684*a(n-26) -304782*a(n-27) +64173*a(n-28) +1145*a(n-29) -3123*a(n-30) +439*a(n-31) +34*a(n-32) -12*a(n-33) -a(n-34) for n>39

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275183.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 19 2016