%I #4 Jan 29 2014 07:05:13
%S 256,2680,2680,28462,57496,28462,299860,1235744,1235744,299860,
%T 3170170,26588346,54793276,26588346,3170170,33464862,572295072,
%U 2421675358,2421675358,572295072,33464862,353620413,12319404000,107677667581
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock
%C Table starts
%C ........256.........2680.........28462.........299860........3170170
%C .......2680........57496.......1235744.......26588346......572295072
%C ......28462......1235744......54793276.....2421675358...107677667581
%C .....299860.....26588346....2421675358...222485308398.20496805956176
%C ....3170170....572295072..107677667581.20496805956176
%C ...33464862..12319404000.4768432194080
%C ..353620413.265129548124
%C .3734464032
%H R. H. Hardin, <a href="/A236596/b236596.txt">Table of n, a(n) for n = 1..40</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 30]
%e Some solutions for n=2 k=4
%e ..0..0..1..2..2....0..0..0..2..2....0..0..0..2..1....0..0..3..3..1
%e ..0..0..3..2..0....0..0..3..0..0....0..0..2..0..0....0..0..1..0..2
%e ..1..0..3..0..1....2..0..2..1..2....1..2..0..0..3....2..0..2..3..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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