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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
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: A363350 A297640 A236523 * A044118 A044499 A241489
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 13 2014
STATUS
approved

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Last modified June 23 20:17 EDT 2024. Contains 373653 sequences. (Running on oeis4.)