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%I #4 Feb 16 2014 05:59:07
%S 2417,70435,2020033,61286941,1871339377,57597474709,1776214151413,
%T 54843034007201,1694040467293129,52337670706589013,
%U 1617105631658587709,49966343554172921017,1543913100962144403457,47705757467460910288829
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum minus the minimum of every 2X2 subblock equal
%C Column 3 of A237945
%H R. H. Hardin, <a href="/A237940/b237940.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 39*a(n-1) -58*a(n-2) -7030*a(n-3) +21065*a(n-4) +435029*a(n-5) -1133100*a(n-6) -11041734*a(n-7) +26665646*a(n-8) +125943418*a(n-9) -291658456*a(n-10) -685365122*a(n-11) +1522606472*a(n-12) +1905197584*a(n-13) -4027531552*a(n-14) -2766833480*a(n-15) +5675870464*a(n-16) +1922313440*a(n-17) -4271600256*a(n-18) -377080192*a(n-19) +1576797696*a(n-20) -161140224*a(n-21) -210014208*a(n-22) +47554560*a(n-23)
%e Some solutions for n=2
%e ..0..1..0..0....1..2..1..2....0..0..0..1....0..2..1..1....0..2..2..1
%e ..0..2..0..2....1..0..0..2....2..0..2..0....1..0..0..2....1..1..0..1
%e ..0..0..2..1....0..2..2..1....1..1..2..2....0..2..0..0....0..2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 16 2014