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A235660 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise 8
16, 52, 52, 160, 276, 160, 476, 1368, 1368, 476, 1392, 6378, 11236, 6378, 1392, 4020, 28823, 85700, 85700, 28823, 4020, 11520, 126926, 627189, 1088450, 627189, 126926, 11520, 32828, 550175, 4396769, 13349432, 13349432, 4396769, 550175, 32828, 93200 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....16.......52........160...........476............1392.............4020

.....52......276.......1368..........6378...........28823...........126926

....160.....1368......11236.........85700..........627189..........4396769

....476.....6378......85700.......1088450........13349432........156257766

...1392....28823.....627189......13349432.......281088490.......5711803299

...4020...126926....4396769.....156257766......5711803299.....206989047143

..11520...550175...29920256....1760232169....111788667635....7311691586871

..32828..2355552..198335901...19098030172...2095040366188..247906183652487

..93200.10004536.1289725913..200821523820..37680708585967.8030471581876202

.263892.42235174.8254247466.2053582822620.651374573412998

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -a(n-2) -8*a(n-3) +4*a(n-4)

k=2: [order 21]

k=3: [order 69]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..1..1....0..1..1..1..1....1..0..0..0..1....0..1..1..1..1

..0..0..1..0..0....1..0..1..0..1....0..0..0..1..0....0..1..0..1..0

..1..1..1..1..1....1..1..1..1..0....0..0..1..1..1....1..1..1..1..1

..0..0..0..0..1....0..1..0..1..0....1..1..0..1..0....0..1..0..1..0

CROSSREFS

Sequence in context: A192248 A297640 A236523 * A044118 A044499 A241489

Adjacent sequences:  A235657 A235658 A235659 * A235661 A235662 A235663

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2014

STATUS

approved

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Last modified April 10 16:16 EDT 2021. Contains 342845 sequences. (Running on oeis4.)