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%I #4 Dec 15 2013 20:52:08
%S 48,188,188,720,864,720,2856,3932,3932,2856,11040,19396,20816,19396,
%T 11040,43888,93100,125976,125976,93100,43888,169920,479628,716768,
%U 966892,716768,479628,169920,675744,2368972,4674280,6892448,6892448,4674280
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1))
%C Table starts
%C .......48.......188........720.........2856.........11040...........43888
%C ......188.......864.......3932........19396.........93100..........479628
%C ......720......3932......20816.......125976........716768.........4674280
%C .....2856.....19396.....125976.......966892.......6892448........58623880
%C ....11040.....93100.....716768......6892448......58298272.......635439176
%C ....43888....479628....4674280.....58623880.....635439176......9169500236
%C ...169920...2368972...27765752....443965172....5726453720....106891645888
%C ...675744..12497004..190316292...4064000052...69211180340...1738779775140
%C ..2616960..62641260.1159969064..31925115348..649660154664..21208274486100
%C .10407872.334456748.8197609072.306087278904.8455130486096.376882661513356
%H R. H. Hardin, <a href="/A233792/b233792.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 18*a(n-2) -40*a(n-4)
%F k=2: [order 11]
%F k=3: [order 34]
%e Some solutions for n=3 k=4
%e ..2..1..2..3..1....1..0..2..3..3....2..1..1..2..1....0..2..2..0..2
%e ..1..3..1..3..2....2..2..1..1..2....0..2..3..3..1....0..1..0..1..0
%e ..2..1..2..3..1....1..0..2..3..1....0..1..1..2..1....2..0..2..2..2
%e ..1..3..3..1..2....2..0..1..3..2....2..2..3..3..1....1..0..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 15 2013
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