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A237242
Number of (n+1) X (1+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
81, 344, 1488, 6496, 28176, 121088, 523776, 2286592, 9917952, 42622976, 184369152, 804880384, 3491119104, 15003287552, 64897941504, 283317895168, 1228873924608, 5281157218304, 22844075409408, 99727899099136, 432563621462016
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 352*a(n-4) for n>5.
Empirical g.f.: x*(81 + 344*x + 1488*x^2 + 6496*x^3 - 336*x^4) / (1 - 352*x^4). - Colin Barker, Oct 21 2018
EXAMPLE
Some solutions for n=5:
..1..1....1..2....1..1....2..0....1..1....1..1....0..1....2..0....1..2....2..0
..1..1....2..1....0..2....0..0....2..2....2..1....2..1....0..1....1..1....0..0
..1..2....2..2....2..1....2..1....2..1....0..1....1..1....1..0....2..0....1..0
..2..1....2..0....2..1....2..1....2..1....2..2....0..2....2..0....1..2....2..1
..2..2....0..1....0..0....0..2....1..1....1..1....2..1....2..0....2..1....2..0
..0..2....2..1....0..2....2..2....2..2....2..1....1..0....0..1....2..2....0..0
CROSSREFS
Column 1 of A237249.
Sequence in context: A237249 A236096 A237377 * A236089 A236737 A236730
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 05 2014
STATUS
approved