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 A237090 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal 8

%I

%S 256,912,912,3274,3968,3274,12590,17636,17636,12590,48864,84918,96104,

%T 84918,48864,194812,412158,578486,578486,412158,194812,782024,2074898,

%U 3497586,4428988,3497586,2074898,782024,3181960,10501584,22239606

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

%C Table starts

%C ......256........912........3274.........12590..........48864..........194812

%C ......912.......3968.......17636.........84918.........412158.........2074898

%C .....3274......17636.......96104........578486........3497586........22239606

%C ....12590......84918......578486.......4428988.......33954418.......276471206

%C ....48864.....412158.....3497586......33954418......329386610......3424504396

%C ...194812....2074898....22239606.....276471206.....3424504396.....45670475702

%C ...782024...10501584...141915177....2256243854....35657488703....609352466155

%C ..3181960...54426654...938113698...19251013930...391169928184...8607861479546

%C .13011114..283246634..6226900258..165074810168..4318045934033.122517160329006

%C .53658914.1501153826.42501875752.1468740268436.49828393684132

%H R. H. Hardin, <a href="/A237090/b237090.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 39]

%e Some solutions for n=3 k=4

%e ..0..1..1..2..1....0..1..3..2..2....0..3..2..0..2....0..3..1..2..1

%e ..2..2..3..1..3....2..3..1..0..2....2..1..2..2..2....2..1..3..2..3

%e ..0..1..1..2..1....1..2..2..3..1....3..2..3..1..3....0..3..1..2..3

%e ..1..3..0..2..0....0..3..3..2..2....2..3..2..2..0....3..0..2..3..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 03 2014

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Last modified December 9 00:20 EST 2022. Contains 358698 sequences. (Running on oeis4.)