cp's OEIS Frontend

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.

%I A183772 #9 Jan 14 2017 10:28:43
%S A183772 0,1,1,0,6,0,12,40,40,12,0,280,0,280,0,160,2016,7392,7392,2016,160,0,
%T A183772 14784,0,205920,0,14784,0,2240,109824,1555840,5912192,5912192,1555840,
%U A183772 109824,2240,0,823680,0,173065984,0,173065984,0,823680,0,32256,6223360
%N 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.
%C A183772 Table starts
%C A183772 .....0........1...........0..............12..................0
%C A183772 .....1........6..........40.............280...............2016
%C A183772 .....0.......40...........0............7392..................0
%C A183772 ....12......280........7392..........205920............5912192
%C A183772 .....0.....2016...........0.........5912192..................0
%C A183772 ...160....14784.....1555840.......173065984........19855042560
%C A183772 .....0...109824...........0......5134924800..................0
%C A183772 ..2240...823680...346131968....153876579840.....70577422755840
%C A183772 .....0..6223360...........0...4646469273600..................0
%C A183772 .32256.47297536.79420170240.141154845511680.258888921984516096
%H A183772 R. H. Hardin, <a href="/A183772/b183772.txt">Table of n, a(n) for n = 1..220</a>
%e A183772 Some solutions for 4 X 3:
%e A183772 ..0..1..0....1..1..0....1..0..0....0..1..1....1..1..1....0..0..0....0..0..1
%e A183772 ..0..1..1....0..1..0....0..1..0....1..0..1....0..0..0....1..0..0....1..1..1
%e A183772 ..0..1..1....1..1..0....1..0..0....1..0..0....1..0..1....1..0..1....0..0..1
%e A183772 ..1..1..0....1..1..1....0..1..0....1..1..1....0..1..1....0..1..1....1..0..1
%Y A183772 Column 1 is A098400(n/2-1).
%Y A183772 Column 2 is A069720.
%K A183772 nonn,tabl
%O A183772 1,5
%A A183772 _R. H. Hardin_, Jan 06 2011