A237369 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

288, 1164, 4760, 20812, 90528, 393456, 1707488, 7460608, 32509760, 141269808, 613267808, 2679432304, 11675906432, 50736815168, 220255387008, 962317756288, 4193401642752, 18222123217856, 79104715510144, 345616379670720

Offset

1,1

Comments

Column 2 of A237375

Links

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

Formula

Empirical: a(n) = 370*a(n-4) -3916*a(n-8) +6904*a(n-12) -1984*a(n-16) for n>18

Example

Some solutions for n=5
..1..2..2....2..2..1....1..2..2....0..1..0....2..0..1....0..2..0....0..2..0
..1..0..1....0..2..0....2..1..2....1..1..0....2..1..2....1..2..2....1..1..2
..1..1..2....1..2..0....2..2..1....2..0..2....0..1..1....1..2..1....1..2..1
..0..2..0....0..1..2....2..0..2....0..1..1....2..0..2....1..1..2....1..2..0
..0..1..1....2..0..1....1..2..0....1..0..1....1..1..2....0..2..0....2..2..2
..0..1..0....0..0..2....2..1..2....2..0..1....1..2..1....2..1..1....1..1..0

Crossrefs

Sequence in context: A250788 A179646 A281236 * A280936 A250871 A128392

Adjacent sequences: A237366 A237367 A237368 * A237370 A237371 A237372

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved