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%I #4 Dec 18 2013 06:37:55
%S 44,226,226,1150,2108,1150,5874,19484,19484,5874,29970,180972,328508,
%T 180972,29970,152974,1679760,5601514,5601514,1679760,152974,780718,
%U 15596008,95457842,176523392,95457842,15596008,780718,3984650,144797048
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 4
%C Table starts
%C ........44..........226............1150...............5874
%C .......226.........2108...........19484.............180972
%C ......1150........19484..........328508............5601514
%C ......5874.......180972.........5601514..........176523392
%C .....29970......1679760........95457842.........5575336614
%C ....152974.....15596008......1628628304.......176443282254
%C ....780718....144797048.....27781166008......5586328225626
%C ...3984650...1344358636....473979079512....176913068237196
%C ..20336682..12481572704...8086137608310...5603035961686288
%C .103793974.115884202944.137956079585788.177460847788244822
%H R. H. Hardin, <a href="/A233949/b233949.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-1) +3*a(n-2) -13*a(n-3) +2*a(n-4)
%F k=2: [order 10]
%F k=3: [order 25]
%F k=4: [order 70]
%e Some solutions for n=2 k=4
%e ..0..0..0..0..0....1..2..0..1..2....2..0..0..0..1....0..1..1..2..0
%e ..0..2..0..2..1....0..1..0..2..1....1..0..2..2..2....0..2..0..2..2
%e ..0..1..0..2..0....0..2..0..0..1....2..1..1..0..1....1..2..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 18 2013
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