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%I #5 Mar 31 2012 12:37:16
%S 61,3721,79353,2464241,77937497,2320163321,68168506265,2020945709121,
%T 60380821140105,1805255994953521,53870184420454537,
%U 1606029526149186945,47888299964589797753,1428391142485388208081,42609054655547072314217
%N Number of nX4 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal
%C Column 4 of A207235
%H R. H. Hardin, <a href="/A207231/b207231.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 41*a(n-1) -496*a(n-2) +4331*a(n-3) +27801*a(n-4) -226424*a(n-5) -4051830*a(n-6) -3843930*a(n-7) +81577316*a(n-8) -230470928*a(n-9) +4929482616*a(n-10) +10247255040*a(n-11) -65748533984*a(n-12) -63030407168*a(n-13) -647720099200*a(n-14) +440437613568*a(n-15) +13580263445504*a(n-16) -17409442856448*a(n-17) -69178882206720*a(n-18) +39729794551808*a(n-19) +99914217435136*a(n-20) +439834661814272*a(n-21) +852903138000896*a(n-22) -140783884140544*a(n-23) -4865360025616384*a(n-24) -5195592273887232*a(n-25) -2883648215318528*a(n-26) +10901288358772736*a(n-27) +23646372080123904*a(n-28) -8554321461379072*a(n-29) +6779331384705024*a(n-30) +13060018811174912*a(n-31) -85990483850952704*a(n-32) -31219512086888448*a(n-33) -68904850477285376*a(n-34) +150292794693386240*a(n-35) +199936390543179776*a(n-36) -144158928022798336*a(n-37) -81848676363796480*a(n-38) +16712989059055616*a(n-39) +36969429216526336*a(n-40) -9921992929050624*a(n-41) +246290604621824*a(n-42) for n>45
%e Some solutions for n=4
%e ..2..2..2..1....1..1..0..2....2..1..0..2....0..0..2..1....0..2..0..1
%e ..2..1..0..2....2..2..1..0....2..1..0..2....2..0..1..2....2..0..1..1
%e ..0..0..0..0....2..0..2..1....1..1..1..2....0..2..0..2....0..2..1..1
%e ..2..0..2..2....2..2..2..1....1..1..1..1....2..2..0..1....2..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 16 2012
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