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A236789 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal 9

%I

%S 81,255,255,770,1097,770,2475,4452,4452,2475,7967,19851,23675,19851,

%T 7967,26320,87889,145124,145124,87889,26320,87685,405350,867928,

%U 1287919,867928,405350,87685,296341,1877803,5547565,10951425,10951425,5547565

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

%C Table starts

%C ......81.......255........770.........2475...........7967............26320

%C .....255......1097.......4452........19851..........87889...........405350

%C .....770......4452......23675.......145124.........867928..........5547565

%C ....2475.....19851.....145124......1287919.......10951425........101820364

%C ....7967.....87889.....867928.....10951425......128004881.......1684255298

%C ...26320....405350....5547565....101820364.....1684255298......32223974061

%C ...87685...1877803...35115362....921870137....20959676762.....570994921148

%C ..296341...8891685..230220290...8733287503...278468706789...11000072878624

%C .1009386..42339874.1500418737..81211467440..3553360015495..200824005818655

%C .3469327.204256129.9979134414.774898990883.47248656876065.3868923775555236

%H R. H. Hardin, <a href="/A236789/b236789.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 18]

%F k=2: [order 35]

%F k=3: [order 83]

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 31 2014

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Last modified January 26 18:26 EST 2022. Contains 350599 sequences. (Running on oeis4.)