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A237245 Number of (n+1) X (4+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1

%I #6 Apr 17 2022 22:06:16

%S 6496,78420,974864,12987512,163330432,2059810392,26060799904,

%T 355097523776,4532945330880,57916057781984,741681895667456,

%U 10266004050839616,132424817292716928,1707035661218555456

%N Number of (n+1) X (4+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

%C Column 4 of A237249.

%H R. H. Hardin, <a href="/A237245/b237245.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 80692*a(n-4) -2102571080*a(n-8) +17424111539232*a(n-12) -28895609836800*a(n-16) for n>20.

%e Some solutions for n=2

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

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

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

%Y Cf. A237249.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)