A237921 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1584, 1584, 9892, 14564, 9892, 63476, 133528, 133528, 63476, 406468, 1282504, 1907520, 1282504, 406468, 2591160, 12149024, 27873820, 27873820, 12149024, 2591160, 16574240, 115206520, 405401852, 636891488, 405401852, 115206520

Offset

1,1

Comments

Table starts

........256.........1584............9892............63476............406468

.......1584........14564..........133528..........1282504..........12149024

.......9892.......133528.........1907520.........27873820.........405401852

......63476......1282504........27873820........636891488.......14163256928

.....406468.....12149024.......405401852......14163256928......488835819834

....2591160....115206520......5873296416.....319272033708....16925434187136

...16574240...1092851528.....85701783182....7170378195892...590192559141494

..105734776..10375258140...1241851571792..161382511774196.20435454685816288

..676470380..98442896216..18123171520244.3629106051378200

.4314907116.934214824740.262625441797028

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

k=2: [order 56]

Example

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

Crossrefs

Sequence in context: A237399 A237677 A237672 * A237915 A238081 A238074

Adjacent sequences: A237918 A237919 A237920 * A237922 A237923 A237924

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2014

Status

approved