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A237911 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 7

%I

%S 256,1780,1780,12552,22128,12552,88544,271292,271292,88544,635200,

%T 3324618,5802892,3324618,635200,4438816,40005364,117244060,117244060,

%U 40005364,4438816,31507328,490622010,2545423850,4562312788,2545423850

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Table starts

%C .......256........1780..........12552.............88544..............635200

%C ......1780.......22128.........271292...........3324618............40005364

%C .....12552......271292........5802892.........117244060..........2545423850

%C .....88544.....3324618......117244060........4562312788........184156121060

%C ....635200....40005364.....2545423850......184156121060......14526116666620

%C ...4438816...490622010....54765533116.....7708485009320....1097530057048636

%C ..31507328..6035315040..1229739987068...311133242528216...87005840880652470

%C .221652256.73714662652.25859231001772.12673056415040032.6730336129491899232

%H R. H. Hardin, <a href="/A237911/b237911.txt">Table of n, a(n) for n = 1..111</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 16] for n>17

%F k=2: [order 46]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 15 2014

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Last modified October 1 14:19 EDT 2022. Contains 357149 sequences. (Running on oeis4.)