A275134 - OEIS

%I #4 Jul 17 2016 11:04:05

%S 8,108,373,2178,12423,71576,412306,2381629,13727957,79158451,

%T 456572944,2633093481,15185124732,87573269532,505049273961,

%U 2912660248825,16797581275481,96873339396362,558678129749247,3221951115220504

%N Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2.

%C Row 5 of A275131.

%H R. H. Hardin, <a href="/A275134/b275134.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-2) +49*a(n-3) +109*a(n-4) +31*a(n-5) -508*a(n-6) +75*a(n-7) +324*a(n-8) -972*a(n-9) +260*a(n-10) for n>14

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A275131.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016