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Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
1

%I #5 Mar 31 2012 12:37:23

%S 122,76806,48890520,31112194860,19798894881900,12599441934740388,

%T 8017919094401985204,5102370957264743298996,3247000759052439181788564,

%U 2066297024969543787823082196,1314931443577477050291551747028

%N Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Column 6 of A208392

%H R. H. Hardin, <a href="/A208390/b208390.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 649*a(n-1) -8088*a(n-2) +32724*a(n-3) -69156*a(n-4) +80352*a(n-5) -46656*a(n-6) for n>7

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 25 2012