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

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

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