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A236523 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 columnwise and nonincreasing rowwise 8
16, 52, 52, 160, 264, 160, 476, 1256, 1256, 476, 1392, 5670, 9212, 5670, 1392, 4020, 25023, 63208, 63208, 25023, 4020, 11520, 108214, 421516, 655460, 421516, 108214, 11520, 32828, 462970, 2728079, 6591144, 6591144, 2728079, 462970, 32828, 93200 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

.....52......264.......1256.........5670..........25023...........108214

....160.....1256.......9212........63208.........421516..........2728079

....476.....5670......63208.......655460........6591144.........63997604

...1392....25023.....421516......6591144.......99655626.......1448355717

...4020...108214....2728079.....63997604.....1448355717......31459840764

..11520...462970...17385844....610630403....20627269098.....668463714817

..32828..1962897..109182283...5723134951...287546676233...13878535769685

..93200..8278491..680017778..53126385011..3961701125458..284431385172713

.263892.34768983.4204683204.488732268982.53967671743495.5756312538787583

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..162

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 15]

k=3: [order 37]

k=4: [order 82]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Column 1 is A235653

Sequence in context: A204716 A192248 A297640 * A235660 A044118 A044499

Adjacent sequences:  A236520 A236521 A236522 * A236524 A236525 A236526

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2014

STATUS

approved

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Last modified January 20 23:47 EST 2021. Contains 340332 sequences. (Running on oeis4.)