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%I #4 Nov 25 2014 11:00:35
%S 3375,39852,463006,5281190,59025322,656805747,7283102949,80572967431,
%T 890627215921,9839229259206,108665126977996,1199931916374100,
%U 13249074252546292,146283120433185333,1615074451183837275
%N Number of (n+2)X(2+2) 0..1 arrays with nondecreasing maximum of every three consecutive values in every row and column
%C Column 2 of A250574
%H R. H. Hardin, <a href="/A250568/b250568.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) -10*a(n-2) -30*a(n-3) -3170*a(n-4) +4216*a(n-5) +25146*a(n-6) +250042*a(n-7) -341325*a(n-8) -1568242*a(n-9) -8687308*a(n-10) +9449792*a(n-11) +35649848*a(n-12) +155138752*a(n-13) -115721952*a(n-14) -382633312*a(n-15) -1555690146*a(n-16) +675955548*a(n-17) +2149108188*a(n-18) +9193269172*a(n-19) -1764843612*a(n-20) -6156832816*a(n-21) -32786507324*a(n-22) +802730756*a(n-23) +7136229438*a(n-24) +71641688940*a(n-25) +4949326424*a(n-26) +2825573648*a(n-27) -98127631080*a(n-28) -10872718912*a(n-29) -16123327568*a(n-30) +85681472432*a(n-31) +10646497059*a(n-32) +17459854358*a(n-33) -48074175586*a(n-34) -5906103334*a(n-35) -9299023250*a(n-36) +17317546552*a(n-37) +1919830834*a(n-38) +2745659890*a(n-39) -3906740593*a(n-40) -357055738*a(n-41) -455410940*a(n-42) +517200448*a(n-43) +32835072*a(n-44) +37028096*a(n-45) -36292608*a(n-46) -1146880*a(n-47) -917504*a(n-48) +1048576*a(n-49)
%e Some solutions for n=2
%e ..0..1..0..0....0..0..0..0....0..0..0..0....0..1..0..1....0..0..1..0
%e ..0..1..0..0....1..0..1..0....1..1..1..1....1..1..1..1....0..1..0..1
%e ..0..0..1..0....1..0..1..0....1..0..1..0....0..1..1..0....1..1..1..1
%e ..1..0..0..1....1..0..1..1....1..1..1..0....1..1..0..1....0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 25 2014
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