A237399 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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