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A235517 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise 8

%I

%S 16,58,58,209,382,209,746,2501,2501,746,2660,16117,29533,16117,2660,

%T 9476,103736,343063,343063,103736,9476,33753,666171,3977050,7186597,

%U 3977050,666171,33753,120216,4277473,45985647,150092214,150092214,45985647

%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise

%C Table starts

%C ......16.........58..........209.............746...............2660

%C ......58........382.........2501...........16117.............103736

%C .....209.......2501........29533..........343063............3977050

%C .....746......16117.......343063.........7186597..........150092214

%C ....2660.....103736......3977050.......150092214.........5645191775

%C ....9476.....666171.....45985647......3125826729.......211711499238

%C ...33753....4277473....531586422.....65064307612......7934494535832

%C ..120216...27457539...6142770286...1353709346996....297222406479878

%C ..428160..176252122..70981491138..28162807605171..11132550506229506

%C .1524918.1131335938.820170288679.585865208407308.416940408877849294

%H R. H. Hardin, <a href="/A235517/b235517.txt">Table of n, a(n) for n = 1..143</a>

%F Empirical for column k:

%F k=1: a(n) = 4*a(n-1) -6*a(n-3) +a(n-4) +2*a(n-5)

%F k=2: [order 13]

%F k=3: [order 43]

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 11 2014

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Last modified November 15 18:10 EST 2018. Contains 317240 sequences. (Running on oeis4.)