A237325 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 320, 1264, 5120, 20692, 82800, 332192, 1346016, 5439936, 21769152, 87340224, 353899264, 1430292992, 5723670528, 22964038912, 93049464832, 376061938688, 1504905191424, 6037857292288, 24465182810112, 98876703129600

Offset

1,1

Comments

Column 1 of A237332

Links

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

Formula

Empirical: a(n) = 288*a(n-4) -6720*a(n-8) +33536*a(n-12) for n>15

Example

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

Crossrefs

Sequence in context: A237567 A237560 A237332 * A158776 A101963 A053171

Adjacent sequences: A237322 A237323 A237324 * A237326 A237327 A237328

Keyword

nonn

Author

R. H. Hardin, Feb 06 2014

Status

approved