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%I #4 Dec 14 2013 08:13:39
%S 1188,17424,238570,3455622,48384788,694104494,9797170648,139850230232,
%T 1981047775126,28211321138046,400295030224510,5694020692500340,
%U 80856821916191922,1149540686881994872,16329861923887099300
%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 2
%C Column 4 of A233644
%H R. H. Hardin, <a href="/A233640/b233640.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 18*a(n-1) +104*a(n-2) -2900*a(n-3) +1703*a(n-4) +142773*a(n-5) -323741*a(n-6) -3138407*a(n-7) +9628188*a(n-8) +36089489*a(n-9) -132426888*a(n-10) -233184244*a(n-11) +1009363199*a(n-12) +867273484*a(n-13) -4570942635*a(n-14) -1819188109*a(n-15) +12605037643*a(n-16) +1987026933*a(n-17) -21096877188*a(n-18) -968267399*a(n-19) +20856565656*a(n-20) +317665620*a(n-21) -11488323206*a(n-22) -375223522*a(n-23) +3165049833*a(n-24) +183421296*a(n-25) -361542217*a(n-26) -20354018*a(n-27) +12534108*a(n-28) +274216*a(n-29) -114944*a(n-30) -832*a(n-31)
%e Some solutions for n=2
%e ..0..1..0..1..0....0..0..0..1..1....1..1..2..1..0....0..0..1..1..1
%e ..1..1..1..1..1....1..1..0..0..1....2..1..1..1..1....0..1..1..0..1
%e ..2..1..2..2..2....0..0..0..1..1....2..1..2..1..2....1..1..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2013
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