A183772 T(n,k) = 1/32 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.

0, 1, 1, 0, 6, 0, 12, 40, 40, 12, 0, 280, 0, 280, 0, 160, 2016, 7392, 7392, 2016, 160, 0, 14784, 0, 205920, 0, 14784, 0, 2240, 109824, 1555840, 5912192, 5912192, 1555840, 109824, 2240, 0, 823680, 0, 173065984, 0, 173065984, 0, 823680, 0, 32256, 6223360

Offset: 1

Author

R. H. Hardin, Jan 06 2011

Keywords

• nonn
• tabl

Comments

Table starts

.....0........1...........0..............12..................0

.....1........6..........40.............280...............2016

.....0.......40...........0............7392..................0

....12......280........7392..........205920............5912192

.....0.....2016...........0.........5912192..................0

...160....14784.....1555840.......173065984........19855042560

.....0...109824...........0......5134924800..................0

..2240...823680...346131968....153876579840.....70577422755840

.....0..6223360...........0...4646469273600..................0

.32256.47297536.79420170240.141154845511680.258888921984516096

Examples

			Some solutions for 4 X 3:
..0..1..0....1..1..0....1..0..0....0..1..1....1..1..1....0..0..0....0..0..1
..0..1..1....0..1..0....0..1..0....1..0..1....0..0..0....1..0..0....1..1..1
..0..1..1....1..1..0....1..0..0....1..0..0....1..0..1....1..0..1....0..0..1
..1..1..0....1..1..1....0..1..0....1..1..1....0..1..1....0..1..1....1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Crossrefs

Column 1 is A098400(n/2-1).

Column 2 is A069720.