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%I #4 Jan 19 2014 08:57:40
%S 256,2782,2782,30660,65360,30660,337810,1546388,1546388,337810,
%T 3723012,36646316,79435700,36646316,3723012,41005528,867557598,
%U 4076346506,4076346506,867557598,41005528,451716944,20540949574,209227480445
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the upper median minus the lower median of every 2X2 subblock
%C Table starts
%C ........256.........2782..........30660.........337810........3723012
%C .......2782........65360........1546388.......36646316......867557598
%C ......30660......1546388.......79435700.....4076346506...209227480445
%C .....337810.....36646316.....4076346506...454310298366.50611825632254
%C ....3723012....867557598...209227480445.50611825632254
%C ...41005528..20540949574.10737439549324
%C ..451716944.486339042016
%C .4976199592
%H R. H. Hardin, <a href="/A236127/b236127.txt">Table of n, a(n) for n = 1..39</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 40]
%e Some solutions for n=2 k=4
%e ..0..0..3..1..2....0..0..0..3..3....0..0..2..1..3....0..0..2..3..0
%e ..0..0..2..0..1....0..0..1..0..1....0..0..0..3..1....0..0..0..0..1
%e ..0..1..0..3..2....0..2..2..1..3....0..1..3..0..1....0..3..2..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 19 2014
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