%I #5 Mar 31 2012 12:37:28
%S 41,4568,407832,34538488,2896732704,242632290432,20321585350224,
%T 1702054356798544,142558373809744128,11940239726878790824,
%U 1000077375423933174600,83763383343364383999032
%N Number of 5Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
%C Row 5 of A209100
%H R. H. Hardin, <a href="/A209104/b209104.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 171*a(n-1) -10470*a(n-2) +325569*a(n-3) -5715687*a(n-4) +56148167*a(n-5) -245912801*a(n-6) -484495146*a(n-7) +10078833115*a(n-8) -31788474833*a(n-9) -62614662381*a(n-10) +560437441681*a(n-11) -642115987254*a(n-12) -2499011458897*a(n-13) +6268700558495*a(n-14) +963700261876*a(n-15) -12620524925764*a(n-16) +6372190291752*a(n-17) +1053712106560*a(n-18) -1060563638688*a(n-19) +11585781964416*a(n-20) +5647581956608*a(n-21) -36276070293504*a(n-22) +23488582508544*a(n-23) +1781937340416*a(n-24) -5735198490624*a(n-25) +1426902220800*a(n-26) for n>29
%e Some solutions for n=4
%e ..0..0..0..0....0..0..0..1....0..1..2..2....0..0..0..0....0..0..1..2
%e ..1..1..1..0....2..1..2..2....0..0..0..2....1..1..2..1....2..1..2..1
%e ..2..2..0..1....0..2..0..0....1..2..0..0....0..0..2..0....1..2..1..2
%e ..0..1..0..0....2..0..1..1....1..0..1..0....1..2..1..2....2..0..0..1
%e ..2..0..1..1....2..1..2..1....2..2..1..2....1..2..1..1....0..2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 05 2012