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%I #4 Dec 01 2014 21:11:39
%S 472943,310199103,203249994369,133187012365193,87274898497023663,
%T 57189617044768555919,37475289004151496747521,
%U 24556857847572938143153273,16091650870807332663609588335,10544558647186113778424744945247
%N Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock summing to 1 2 3 4 5 6 or 7
%C Column 5 of A251373
%H R. H. Hardin, <a href="/A251370/b251370.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 554*a(n-1) +65999*a(n-2) +392514*a(n-3) -99331406*a(n-4) +224864516*a(n-5) +58176387190*a(n-6) -1094924130348*a(n-7) +7544081453779*a(n-8) -11449965654350*a(n-9) -96842972469581*a(n-10) +329620771232346*a(n-11) +513725000610028*a(n-12) -2276947870826176*a(n-13) -2431866003930568*a(n-14) +5792326731737520*a(n-15) +8728840892325056*a(n-16) +1282895896780288*a(n-17) -2096430751248384*a(n-18) -337501235220480*a(n-19) +173155321036800*a(n-20)
%e Some solutions for n=1
%e ..0..0..2..1..0..1....0..1..2..0..2..1....0..1..1..1..0..2....0..0..1..2..0..0
%e ..2..2..2..0..1..0....1..1..1..0..2..1....2..0..1..1..2..1....2..1..1..1..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2014
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