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.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A237239 A237240 A237241 * A237243 A237244 A237245

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved