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A235548 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise 8
16, 48, 48, 141, 222, 141, 378, 1049, 1049, 378, 988, 4348, 8711, 4348, 988, 2482, 17658, 61401, 61401, 17658, 2482, 6109, 67012, 429443, 758256, 429443, 67012, 6109, 14712, 247639, 2704866, 9618173, 9618173, 2704866, 247639, 14712, 34896, 880814 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....16.......48........141..........378.............988.............2482

....48......222.......1049.........4348...........17658............67012

...141.....1049.......8711........61401..........429443..........2704866

...378.....4348......61401.......758256.........9618173........108503097

...988....17658.....429443......9618173.......229990437.......4902247081

..2482....67012....2704866....108503097......4902247081.....201871410288

..6109...247639...16395328...1173374675.....99992110087....8016394678681

.14712...880814...93093885..11635568187...1844719926176..287100634818875

.34896..3061429..508540185.109453308692..31896122665112.9572600813928528

.81612.10385988.2659704703.966932051675.509962551465235

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) -14*a(n-3) +5*a(n-4) +18*a(n-5) -4*a(n-6) -8*a(n-7)

k=2: [order 19]

k=3: [order 77]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A333602 A083307 A235765 * A223440 A223402 A260985

Adjacent sequences:  A235545 A235546 A235547 * A235549 A235550 A235551

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 12 2014

STATUS

approved

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Last modified October 18 16:46 EDT 2021. Contains 348068 sequences. (Running on oeis4.)