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%I #4 Feb 15 2014 13:55:03
%S 1780,22128,271292,3324618,40005364,490622010,6035315040,73714662652,
%T 894960497360,10958078831604,134325748353732,1639221669232544,
%U 19979775426322132,244455206135565428,2990775177779198728
%N Number of (n+1)X(2+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 2 of A237911
%H R. H. Hardin, <a href="/A237906/b237906.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 490*a(n-3) +12320*a(n-4) +32334*a(n-5) +174761*a(n-6) +728620*a(n-7) -4478227*a(n-8) -7207644*a(n-9) -27000775*a(n-10) -86386386*a(n-11) +547827458*a(n-12) +554856222*a(n-13) +536708856*a(n-14) +1329549296*a(n-15) -23669830297*a(n-16) -6434035554*a(n-17) +56696777905*a(n-18) -15832476910*a(n-19) +164427921697*a(n-20) +62206824756*a(n-21) -828346221747*a(n-22) -204063315132*a(n-23) +1304893695215*a(n-24) +680120199232*a(n-25) -1013570261870*a(n-26) -1248410862186*a(n-27) +90792816132*a(n-28) +976633774310*a(n-29) +607888452553*a(n-30) -146598881908*a(n-31) -552981695101*a(n-32) -391639304456*a(n-33) -26300252816*a(n-34) +231598966342*a(n-35) +224335145560*a(n-36) +43215570986*a(n-37) -60284011665*a(n-38) -57945132090*a(n-39) -18549813839*a(n-40) +6197072112*a(n-41) +6419665863*a(n-42) +2191120924*a(n-43) +363299396*a(n-44) -86845568*a(n-45) -25033872*a(n-46)
%e Some solutions for n=2
%e ..1..3..0....1..2..3....1..3..3....2..1..2....0..3..1....3..2..2....0..3..1
%e ..2..1..1....0..1..3....2..2..1....2..1..3....1..0..2....1..0..1....3..2..2
%e ..2..2..1....2..2..2....0..1..1....0..0..0....0..2..0....1..0..2....2..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2014
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