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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
7, 11, 11, 20, 16, 20, 34, 36, 36, 34, 54, 73, 130, 73, 54, 81, 134, 382, 382, 134, 81, 116, 225, 924, 1918, 924, 225, 116, 160, 354, 1884, 7671, 7671, 1884, 354, 160, 214, 529, 3463, 22452, 56723, 22452, 3463, 529, 214, 279, 758, 5800, 57488, 288744, 288744
OFFSET
1,1
COMMENTS
Table starts
...7...11....20.....34.......54.........81..........116............160
..11...16....36.....73......134........225..........354............529
..20...36...130....382......924.......1884.........3463...........5800
..34...73...382...1918.....7671......22452........57488.........126978
..54..134...924...7671....56723.....288744......1201502........4136338
..81..225..1884..22452...288744....2663589.....19694227......116690636
.116..354..3463..57488..1201502...19694227....262752720.....2770530466
.160..529..5800.126978..4136338..116690636...2770530466....52431215293
.214..758..9065.248290.11927710..572683182..24162848938...815858815795
.279.1049.13397.439534.29250767.2305864084.172608985173.10481797492543
LINKS
EXAMPLE
Some solutions for 3X3
..0..1..1....0..1..1....0..0..1....0..1..1....0..1..1....0..0..1....0..0..0
..1..0..0....1..0..1....0..1..0....1..1..1....1..0..1....0..1..0....0..0..0
..1..1..1....1..1..0....0..1..1....1..1..1....1..0..1....1..0..1....0..0..0
...
...2..2.......2..3.......1..2.......3..4.......2..3.......1..2.......0..0...
...3..2.......3..2.......2..3.......4..4.......2..2.......2..2.......0..0...
CROSSREFS
Sequence in context: A053674 A205679 A166980 * A243885 A171017 A195608
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 09 2011
STATUS
approved