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A207300 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing 6

%I

%S 256,2338,2338,15040,93991,15040,84899,2019514,2019514,84899,456043,

%T 33860323,158967751,33860323,456043,2470216,521236935,8967460486,

%U 8967460486,521236935,2470216,13615376,8125554503,380160979265

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing

%C Table starts

%C ......256..........2338...........15040.............84899.............456043

%C .....2338.........93991.........2019514..........33860323..........521236935

%C ....15040.......2019514.......158967751........8967460486.......380160979265

%C ....84899......33860323......8967460486.....1951282415919....308913308209090

%C ...456043.....521236935....380160979265...308913308209090.189688562729242206

%C ..2470216....8125554503..12920283700575.37170163306466234

%C .13615376..129766993681.373780805511860

%C .76027865.2097529018861

%H R. H. Hardin, <a href="/A207300/b207300.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%Y Column 1 is A205020

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 16 2012

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Last modified January 28 15:20 EST 2022. Contains 350657 sequences. (Running on oeis4.)