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A237465 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1

%I

%S 81,356,1566,6954,30913,136488,603184,2671904,11847888,52383008,

%T 231824656,1026098208,4546286096,20109616256,89038511104,393995791360,

%U 1745176506880,7720658462720,34190008144896,151276942817792

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

%H R. H. Hardin, <a href="/A237465/b237465.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 288*a(n-4) + 1840*a(n-6) + 784*a(n-8).

%F Empirical g.f.: x*(81 + 356*x + 1566*x^2 + 6954*x^3 + 7585*x^4 + 33960*x^5 + 3136*x^6 + 14112*x^7) / (1 - 288*x^4 - 1840*x^6 - 784*x^8). - _Colin Barker_, Oct 22 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 1 of A237472.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2014

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Last modified June 27 16:27 EDT 2022. Contains 354896 sequences. (Running on oeis4.)