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%I #4 Feb 18 2014 08:20:26
%S 256,1810,1810,12981,22698,12981,94458,292176,292176,94458,687254,
%T 3817216,6799917,3817216,687254,4977790,49554382,160133604,160133604,
%U 49554382,4977790,36125717,642717388,3756442630,6863396252,3756442630
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......256.........1810..........12981.............94458...............687254
%C ......1810........22698.........292176...........3817216.............49554382
%C .....12981.......292176........6799917.........160133604...........3756442630
%C .....94458......3817216......160133604........6863396252.........292335443616
%C ....687254.....49554382.....3756442630......292335443616.......22569314353994
%C ...4977790....642717388....88011173220....12430740302096.....1735590139495580
%C ..36125717...8350461834..2067349618435...529306438594610...133985522364550954
%C .262009080.108497620520.48473348771212.22541568260503428.10333049915756021016
%H R. H. Hardin, <a href="/A238145/b238145.txt">Table of n, a(n) for n = 1..83</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 34]
%e Some solutions for n=2 k=4
%e ..0..0..3..2..2....0..0..0..0..3....0..0..0..1..3....0..0..2..1..3
%e ..2..0..1..0..1....2..0..1..2..0....2..1..3..2..1....0..3..1..0..1
%e ..3..0..2..1..1....1..2..0..2..0....2..0..3..2..1....3..1..1..3..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 18 2014
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