A237368 Number of (n+1)X(1+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

81, 288, 1024, 3840, 14400, 53760, 200704, 752640, 2822400, 10536960, 39337984, 147517440, 553190400, 2065244160, 7710244864, 28913418240, 108425318400, 404787855360, 1511207993344, 5667029975040, 21251362406400, 79338419650560

Offset

1,1

Comments

Column 1 of A237375

Links

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

Formula

Empirical: a(n) = 196*a(n-4) for n>6

Example

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

Crossrefs

Sequence in context: A236875 A236868 A237375 * A017078 A359245 A236055

Adjacent sequences: A237365 A237366 A237367 * A237369 A237370 A237371

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved