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%I #4 Feb 17 2014 11:45:30
%S 256,1644,1644,10700,16116,10700,67056,157404,157404,67056,438768,
%T 1499348,2296588,1499348,438768,2752364,14168952,27034844,27034844,
%U 14168952,2752364,17963540,135441648,363809888,506608980,363809888
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C ........256..........1644...........10700.............67056..............438768
%C .......1644.........16116..........157404...........1499348............14168952
%C ......10700........157404.........2296588..........27034844...........363809888
%C ......67056.......1499348........27034844.........506608980.........10213967484
%C .....438768......14168952.......363809888.......10213967484........323819924384
%C ....2752364.....135441648......4856507148......209604948500.......9500262069216
%C ...17963540....1301417096.....69678083388.....4182799295184.....300828077426994
%C ..112686608...12431472388....867711409148....82645994204968....9035028981379256
%C ..736140896..118450899788..11916017498904..1667663702267092..288763387135691996
%C .4617797164.1132038063428.155815394620052.34042629929788000.8588440332702563980
%H R. H. Hardin, <a href="/A238072/b238072.txt">Table of n, a(n) for n = 1..143</a>
%F Empirical for column k:
%F k=1: a(n) = 23*a(n-2) +689*a(n-4) +1889*a(n-6) +1784*a(n-8) +512*a(n-10) for n>13
%F k=2: [order 20] for n>24
%F k=3: [order 60] for n>63
%e Some solutions for n=2 k=4
%e ..1..0..1..0..3....0..1..0..0..3....1..1..2..2..0....1..1..2..0..2
%e ..2..0..1..2..0....2..1..0..2..1....1..0..2..1..2....2..1..3..1..0
%e ..3..1..2..1..1....2..2..0..3..3....2..2..3..1..1....2..0..2..3..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 17 2014
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