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

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

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: A363350 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