A237399 Number of (n+1) X (1+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

256, 1540, 9296, 58088, 363220, 2273712, 14242608, 89287168, 559586448, 3506120448, 21975379072, 137776906368, 863524228864, 5410642304512, 33913297265408, 212624965143552, 1332643818862080, 8350065823585280

Offset

1,1

Comments

Column 1 of A237403.

Links

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

Formula

Empirical: a(n) = 1944*a(n-4) -669984*a(n-8) +82555584*a(n-12) -4702054656*a(n-16) +139358364672*a(n-20) -2211858219008*a(n-24) +17888510001152*a(n-28) -60723254525952*a(n-32) +30235468759040*a(n-36) -3292511862784*a(n-40) for n>43.

Example

Some solutions for n=4
..0..3....2..2....3..3....3..0....3..2....0..0....2..3....3..0....1..0....1..0
..1..0....2..1....1..1....1..2....1..2....2..2....3..2....2..2....1..1....2..3
..2..2....2..1....3..0....2..2....0..2....1..0....0..2....1..3....1..3....1..3
..2..0....0..0....0..3....0..0....3..1....3..2....2..2....2..1....1..2....3..3
..1..2....2..0....0..2....1..2....2..1....3..3....0..3....3..0....0..1....3..2

Crossrefs

Sequence in context: A197907 A218525 A237403 * A237677 A237672 A237921

Adjacent sequences: A237396 A237397 A237398 * A237400 A237401 A237402

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved