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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 23:46 EDT 2021. Contains 348305 sequences. (Running on oeis4.)