A237403 T(n,k) = number of (n+1) X (k+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, 1540, 9296, 13924, 9296, 58088, 126848, 126848, 58088, 363220, 1200450, 1748190, 1200450, 363220, 2273712, 11356368, 25159676, 25159676, 11356368, 2273712, 14242608, 107575258, 361453184, 555327358, 361453184, 107575258

Offset

1,1

Comments

Table starts

........256........1540..........9296.........58088.........363220

.......1540.......13924........126848.......1200450.......11356368

.......9296......126848.......1748190......25159676......361453184

......58088.....1200450......25159676.....555327358....12223260408

.....363220....11356368.....361453184...12223260408...411909381794

....2273712...107575258....5197555932..269190640070.13882584141744

...14242608..1019532240...74749364118.5926795463268

...89287168..9677144372.1077627856648

..559586448.91828244608

.3506120448

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 40] for n>43.

Example

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

Crossrefs

Sequence in context: A198073 A197907 A218525 * A237399 A237677 A237672

Adjacent sequences: A237400 A237401 A237402 * A237404 A237405 A237406

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved