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A237399 Number of (n+1) X (1+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1

%I

%S 256,1540,9296,58088,363220,2273712,14242608,89287168,559586448,

%T 3506120448,21975379072,137776906368,863524228864,5410642304512,

%U 33913297265408,212624965143552,1332643818862080,8350065823585280

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

%C Column 1 of A237403.

%H R. H. Hardin, <a href="/A237399/b237399.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1944*a(n-4) -669984*a(n-8) +82555584*a(n-12) -4702054656*a(n-16) +139358364672*a(n-20) -2211858219008*a(n-24) +17888510001152*a(n-28) -60723254525952*a(n-32) +30235468759040*a(n-36) -3292511862784*a(n-40) for n>43.

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2014

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Last modified May 16 02:09 EDT 2022. Contains 353687 sequences. (Running on oeis4.)