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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. 8
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A098400(n/2-1).
Column 2 is A069720.
Sequence in context: A256856 A028603 A205966 * A240821 A320146 A283999
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 06 2011
STATUS
approved

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Last modified July 22 15:50 EDT 2024. Contains 374540 sequences. (Running on oeis4.)