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A236722 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal 1

%I

%S 211,639,1956,6469,21829,76632,274715,1011801,3796026,14529341,

%T 56433065,222377312,885798875,3563873289,14447284384,58961418181,

%U 241865432945,996575390514,4120372173019,17085797687833,71011622830256

%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

%C Column 2 of A236728

%H R. H. Hardin, <a href="/A236722/b236722.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -55*a(n-2) -429*a(n-3) +3345*a(n-4) +305*a(n-5) -62701*a(n-6) +119409*a(n-7) +571524*a(n-8) -2050196*a(n-9) -2416550*a(n-10) +17913003*a(n-11) -1900329*a(n-12) -97846713*a(n-13) +85301692*a(n-14) +353378385*a(n-15) -541630757*a(n-16) -831973453*a(n-17) +1994662513*a(n-18) +1101693402*a(n-19) -4920998860*a(n-20) -26652788*a(n-21) +8425389509*a(n-22) -3163793118*a(n-23) -9924788192*a(n-24) +7023205589*a(n-25) +7601234480*a(n-26) -8445523028*a(n-27) -3117276202*a(n-28) +6289375992*a(n-29) -67084040*a(n-30) -2859185064*a(n-31) +767253584*a(n-32) +709211904*a(n-33) -363445392*a(n-34) -63488320*a(n-35) +70261760*a(n-36) -5334144*a(n-37) -5176704*a(n-38) +976896*a(n-39) +101376*a(n-40) -27648*a(n-41)

%e Some solutions for n=6

%e ..0..1..1....0..1..2....1..1..1....2..1..0....1..2..1....2..2..0....0..1..1

%e ..1..2..2....2..1..2....2..2..0....2..2..2....1..2..1....2..1..2....0..2..1

%e ..2..1..1....1..0..1....1..1..1....0..1..2....2..1..2....2..2..0....1..0..0

%e ..1..0..2....2..1..2....2..2..2....2..2..2....2..1..2....2..1..2....0..2..1

%e ..2..1..1....1..0..1....2..2..2....1..2..1....2..1..2....0..2..2....0..1..1

%e ..1..2..2....1..2..1....1..1..1....2..2..0....0..1..2....2..1..0....0..2..1

%e ..1..2..2....2..1..2....0..2..0....2..1..2....1..2..1....0..2..2....1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2014

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Last modified August 7 12:19 EDT 2020. Contains 336276 sequences. (Running on oeis4.)