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%I #4 Jan 27 2014 04:53:15
%S 256,2228,2228,19856,30916,19856,171436,404844,404844,171436,1503360,
%T 5217808,8124056,5217808,1503360,13078180,67922876,142835932,
%U 142835932,67922876,13078180,114229184,889064156,2727955642,4018409892,2727955642
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock
%C Table starts
%C ........256..........2228...........19856............171436............1503360
%C .......2228.........30916..........404844...........5217808...........67922876
%C ......19856........404844.........8124056.........142835932.........2727955642
%C .....171436.......5217808.......142835932........4018409892.......117174223516
%C ....1503360......67922876......2727955642......117174223516......5510102027356
%C ...13078180.....889064156.....52554367064.....3489407550956....252358163507060
%C ..114229184...11593920636...1025983223760...102973945562456..11946600523108020
%C ..995583500..150933818096..19095015395876..3020121066420424.550717159908756560
%C .8688160944.1967718157060.366962215793842.88792796276355104
%H R. H. Hardin, <a href="/A236500/b236500.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11] for n>12
%F k=2: [order 43] for n>46
%e Some solutions for n=2 k=4
%e ..1..1..2..0..1....0..1..2..0..3....1..1..2..0..1....0..1..1..0..0
%e ..0..1..2..1..3....0..1..1..2..0....3..1..1..1..0....0..2..2..1..1
%e ..3..3..2..1..1....2..3..2..2..1....0..0..2..3..1....3..3..3..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 27 2014