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A235962 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise 7
16, 50, 50, 144, 228, 144, 398, 928, 928, 398, 1076, 3574, 5196, 3574, 1076, 2866, 13346, 27296, 27296, 13346, 2866, 7560, 48848, 137988, 195428, 137988, 48848, 7560, 19798, 176420, 681546, 1340034, 1340034, 681546, 176420, 19798, 51580, 631130 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....16......50.......144.........398.........1076...........2866

.....50.....228.......928........3574........13346..........48848

....144.....928......5196.......27296.......137988.........681546

....398....3574.....27296......195428......1340034........8974124

...1076...13346....137988.....1340034.....12412248......112308598

...2866...48848....681546.....8974124....112308598.....1374773712

...7560..176420...3311312....59037352....997114552....16500794898

..19798..631130..15908352...383935642...8749889970...195824119834

..51580.2242678..75789960..2474858156..76070757246..2302059880080

.133850.7930164.358924192.15855538026.657191443192.26894984140858

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -a(n-2) -10*a(n-3) +8*a(n-4)

k=2: [order 8]

k=3: [order 17]

k=4: [order 32]

k=5: [order 67]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A235566

Sequence in context: A153483 A030686 A030688 * A235573 A186850 A235566

Adjacent sequences:  A235959 A235960 A235961 * A235963 A235964 A235965

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 17 2014

STATUS

approved

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Last modified August 4 15:42 EDT 2021. Contains 346447 sequences. (Running on oeis4.)