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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. 5
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 3 05:05 EST 2021. Contains 349445 sequences. (Running on oeis4.)