A274856 - OEIS

%I #4 Jul 09 2016 11:01:23

%S 16,243,233,923,3602,14414,58775,240587,983086,4014830,16413550,

%T 67168090,274928938,1125151301,4604230576,18841465233,77107337889,

%U 315561981687,1291427753435,5285084130804,21628857005629,88514926769906

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

%C Column 6 of A274858.

%H R. H. Hardin, <a href="/A274856/b274856.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -77*a(n-2) +286*a(n-3) -736*a(n-4) +1351*a(n-5) -1787*a(n-6) +1716*a(n-7) -1217*a(n-8) +652*a(n-9) -265*a(n-10) +78*a(n-11) -14*a(n-12) +a(n-13) for n>15

%e Some solutions for n=4

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

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

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

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

%Y Cf. A274858.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 09 2016