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%I #4 Jan 15 2014 06:52:05
%S 209,2481,29130,337412,3906424,45143913,521746721,6028565252,
%T 69659874030,804890692193,9300241852444,107460665822569,
%U 1241667704762525,14346994859722417,165774069260192855,1915456124041041749
%N Number of (n+1)X(3+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
%C Column 3 of A235736
%H R. H. Hardin, <a href="/A235731/b235731.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) +31*a(n-2) -636*a(n-3) +89*a(n-4) +12041*a(n-5) -11270*a(n-6) -120541*a(n-7) +154024*a(n-8) +740489*a(n-9) -1063058*a(n-10) -3026569*a(n-11) +4525730*a(n-12) +8621311*a(n-13) -12861384*a(n-14) -17576669*a(n-15) +25344090*a(n-16) +26012635*a(n-17) -35238430*a(n-18) -28101627*a(n-19) +34713900*a(n-20) +22128559*a(n-21) -24080258*a(n-22) -12584223*a(n-23) +11581011*a(n-24) +5060172*a(n-25) -3764571*a(n-26) -1380959*a(n-27) +796769*a(n-28) +237764*a(n-29) -104144*a(n-30) -22656*a(n-31) +7728*a(n-32) +896*a(n-33) -256*a(n-34)
%e Some solutions for n=3
%e ..1..1..1..0....1..0..1..1....1..1..1..1....0..1..1..1....1..1..0..1
%e ..0..1..0..0....0..0..1..0....0..0..0..0....1..1..0..1....1..0..0..0
%e ..1..0..1..1....0..1..0..0....0..1..0..1....0..1..0..1....0..1..1..0
%e ..0..1..0..0....1..1..1..0....1..0..1..1....0..0..0..0....0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2014
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