A237099 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal

81, 303, 303, 1178, 1735, 1178, 4783, 10466, 10466, 4783, 19735, 66831, 95954, 66831, 19735, 83052, 428497, 944850, 944850, 428497, 83052, 352077, 2832722, 9188374, 14756791, 9188374, 2832722, 352077, 1509309, 18682733, 93666930, 223026701

Offset

1,1

Comments

Table starts

.......81........303..........1178............4783.............19735

......303.......1735.........10466...........66831............428497

.....1178......10466.........95954..........944850...........9188374

.....4783......66831........944850........14756791.........223026701

....19735.....428497.......9188374.......223026701........5118051860

....83052....2832722......93666930......3632023790......129616164248

...352077...18682733.....938845280.....56768589375.....3075529728707

..1509309..125843583....9750633426....943735196093....79508538658723

..6498030..844258374...99519840956..15036281517264..1923687881420041

.28174611.5747581507.1043306362002.252233217483293.50184858611822070

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 26]

k=3: [order 68]

Example

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

Crossrefs

Sequence in context: A237779 A237772 A236819 * A236812 A237092 A206277

Adjacent sequences: A237096 A237097 A237098 * A237100 A237101 A237102

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2014

Status

approved