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%I #6 Jan 01 2024 18:48:49
%S 48,95,436,2049,9863,48269,237807,1173787,5803040,28746995,142599041,
%T 707620370,3511083299,17420351674,86438549422,428942623935,
%U 2128651136675,10563418237405,52420279346379,260132938554538,1290906088470552
%N Number of 7 X n 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2.
%C Row 7 of A274895.
%H R. H. Hardin, <a href="/A274899/b274899.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1330*a(n-3) -6059*a(n-4) +20839*a(n-5) -55739*a(n-6) +118287*a(n-7) -202495*a(n-8) +284119*a(n-9) -331806*a(n-10) +326718*a(n-11) -273224*a(n-12) +193798*a(n-13) -115270*a(n-14) +56258*a(n-15) -21837*a(n-16) +6481*a(n-17) -1404*a(n-18) +210*a(n-19) -20*a(n-20) +a(n-21) for n>22.
%e Some solutions for n=4
%e ..0..1..0..1. .0..1..2..0. .0..1..2..1. .0..1..2..0. .0..1..0..1
%e ..0..2..0..2. .0..1..0..1. .0..2..0..1. .0..2..0..1. .1..2..0..1
%e ..1..2..1..2. .1..2..0..1. .1..2..1..2. .1..2..0..2. .2..0..1..2
%e ..2..0..1..0. .2..0..1..2. .2..0..1..2. .1..0..1..2. .0..1..2..0
%e ..0..1..2..0. .0..1..2..0. .2..0..2..0. .2..0..1..0. .1..2..0..1
%e ..1..2..0..1. .1..2..0..1. .0..1..2..1. .2..1..2..0. .2..0..1..2
%e ..1..2..0..1. .1..2..0..2. .0..2..0..1. .0..1..0..1. .2..1..2..0
%Y Cf. A274895.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 10 2016
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