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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

%I #9 Jan 14 2017 10:28:43

%S 0,1,1,0,6,0,12,40,40,12,0,280,0,280,0,160,2016,7392,7392,2016,160,0,

%T 14784,0,205920,0,14784,0,2240,109824,1555840,5912192,5912192,1555840,

%U 109824,2240,0,823680,0,173065984,0,173065984,0,823680,0,32256,6223360

%N 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.

%C Table starts

%C .....0........1...........0..............12..................0

%C .....1........6..........40.............280...............2016

%C .....0.......40...........0............7392..................0

%C ....12......280........7392..........205920............5912192

%C .....0.....2016...........0.........5912192..................0

%C ...160....14784.....1555840.......173065984........19855042560

%C .....0...109824...........0......5134924800..................0

%C ..2240...823680...346131968....153876579840.....70577422755840

%C .....0..6223360...........0...4646469273600..................0

%C .32256.47297536.79420170240.141154845511680.258888921984516096

%H R. H. Hardin, <a href="/A183772/b183772.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for 4 X 3:

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

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

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

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

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

%Y Column 2 is A069720.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Jan 06 2011

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Last modified August 12 12:08 EDT 2024. Contains 375092 sequences. (Running on oeis4.)