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A184071 T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one 10

%I

%S 7,11,11,20,16,20,34,36,36,34,54,73,130,73,54,81,134,382,382,134,81,

%T 116,225,924,1918,924,225,116,160,354,1884,7671,7671,1884,354,160,214,

%U 529,3463,22452,56723,22452,3463,529,214,279,758,5800,57488,288744,288744

%N T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

%C Table starts

%C ...7...11....20.....34.......54.........81..........116............160

%C ..11...16....36.....73......134........225..........354............529

%C ..20...36...130....382......924.......1884.........3463...........5800

%C ..34...73...382...1918.....7671......22452........57488.........126978

%C ..54..134...924...7671....56723.....288744......1201502........4136338

%C ..81..225..1884..22452...288744....2663589.....19694227......116690636

%C .116..354..3463..57488..1201502...19694227....262752720.....2770530466

%C .160..529..5800.126978..4136338..116690636...2770530466....52431215293

%C .214..758..9065.248290.11927710..572683182..24162848938...815858815795

%C .279.1049.13397.439534.29250767.2305864084.172608985173.10481797492543

%H R. H. Hardin, <a href="/A184071/b184071.txt">Table of n, a(n) for n = 1..199</a>

%e Some solutions for 3X3

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

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

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

%e ...

%e ...2..2.......2..3.......1..2.......3..4.......2..3.......1..2.......0..0...

%e ...3..2.......3..2.......2..3.......4..4.......2..2.......2..2.......0..0...

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 09 2011

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Last modified January 26 13:18 EST 2021. Contains 340439 sequences. (Running on oeis4.)