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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the maximum and minimum in each 2X2 subblock
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%I #4 Jan 26 2014 05:04:37

%S 256,2116,2116,17258,25172,17258,136208,280436,280436,136208,1080984,

%T 3081484,4535608,3081484,1080984,8564392,33804644,66621676,66621676,

%U 33804644,8564392,67897642,372302304,1010208094,1449135596,1010208094

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the maximum and minimum in each 2X2 subblock

%C Table starts

%C ........256.........2116..........17258...........136208.............1080984

%C .......2116........25172.........280436..........3081484............33804644

%C ......17258.......280436........4535608.........66621676..........1010208094

%C .....136208......3081484.......66621676.......1449135596.........33053505704

%C ....1080984.....33804644.....1010208094......33053505704.......1166414287888

%C ....8564392....372302304....15722137048.....776197082280......41279981011320

%C ...67897642...4107125100...247623908622...18067929385444....1477275293586586

%C ..538065184..45253160716..3790739028840..417098720716876...52628266318084400

%C .4265291002.498239745892.58545992300474.9663226837691844.1890840513888912176

%H R. H. Hardin, <a href="/A236451/b236451.txt">Table of n, a(n) for n = 1..97</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 11] for n>13

%F k=2: [order 34] for n>37

%e Some solutions for n=2 k=4

%e ..0..1..3..0..1....0..0..1..0..3....1..1..3..2..2....0..0..2..2..0

%e ..0..1..2..1..2....0..0..1..2..0....0..0..1..3..3....0..1..1..2..2

%e ..2..2..1..3..0....1..1..2..1..2....3..2..0..2..1....2..1..2..3..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 26 2014