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%I #6 Dec 27 2023 00:37:42
%S 781,4129,22393,134361,824753,5371569,35771489,248167409,1753726713,
%T 12755158193,94057681665,707248176257,5369470677745,41285192258417,
%U 319494321642745,2492347887700657,19525186806815889,153725340401997185
%N Number of (n+1) X (3+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock equal.
%C Column 3 of A236893.
%H R. H. Hardin, <a href="/A236888/b236888.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) -56*a(n-2) -1596*a(n-3) +10598*a(n-4) +37506*a(n-5) -458265*a(n-6) -65787*a(n-7) +9671623*a(n-8) -11880327*a(n-9) -116841126*a(n-10) +239765418*a(n-11) +846977784*a(n-12) -2328600336*a(n-13) -3613321941*a(n-14) +13171406553*a(n-15) +7958267644*a(n-16) -45136203792*a(n-17) -3285801844*a(n-18) +93007353972*a(n-19) -22546601120*a(n-20) -112104741744*a(n-21) +48327996864*a(n-22) +75881646528*a(n-23) -41191019008*a(n-24) -27175387392*a(n-25) +16504756224*a(n-26) +4679811072*a(n-27) -3017687040*a(n-28) -297271296*a(n-29) +198180864*a(n-30).
%e Some solutions for n=4
%e ..0..2..0..2....0..2..2..2....2..0..0..2....1..2..1..0....0..1..2..1
%e ..1..0..1..2....1..0..1..0....1..2..1..0....2..0..2..2....0..1..0..1
%e ..0..2..0..0....2..0..2..2....0..2..0..2....1..0..1..0....2..1..2..1
%e ..1..0..1..2....2..1..0..1....0..1..2..1....2..0..2..0....2..1..2..1
%e ..0..2..2..0....0..2..0..2....0..2..0..2....2..1..2..1....1..0..1..2
%Y Cf. A236893.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 01 2014
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