A254242 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically

512, 2616, 2616, 10684, 9209, 10684, 41140, 38392, 38392, 41140, 150016, 167637, 195528, 167637, 150016, 514920, 637570, 970333, 970333, 637570, 514920, 1700100, 2228050, 3702284, 5606832, 3702284, 2228050, 1700100, 5487356, 7570126

Offset

1,1

Comments

Table starts

......512......2616......10684......41140......150016......514920......1700100

.....2616......9209......38392.....167637......637570.....2228050......7570126

....10684.....38392.....195528.....970333.....3702284....13376848.....46946080

....41140....167637.....970333....5606832....21582041....80104299....277964612

...150016....637570....3702284...21582041....68909819...249684274....823990321

...514920...2228050...13376848...80104299...249684274...940766774...3047978749

..1700100...7570126...46946080..277964612...823990321..3047978749...9935634151

..5487356..24603175..151691950..863193207..2489942672..8696762202..29382711821

.17402796..77699926..473298612.2642194905..7604477491.26336306288..95953540161

.54388900.240604963.1441563263.7927642723.22672034459.78716251434.293785336653

Links

R. H. Hardin, Table of n, a(n) for n = 1..284

Formula

Empirical for column k:

k=1: [linear recurrence of order 36]

k=2: [order 54]for n>66

Example

Some solutions for n=3 k=4
..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..1..1..0....0..0..0..0..0..1
..0..0..0..1..1..0....0..0..0..0..0..1....1..0..0..1..0..0....0..0..0..0..1..1
..0..1..0..0..0..1....1..1..0..0..1..1....1..0..0..0..0..1....1..0..0..0..1..0
..0..1..0..1..1..1....1..0..0..1..1..1....0..0..0..1..1..1....0..0..0..1..1..0
..1..1..0..0..0..1....0..0..1..1..1..1....1..0..0..1..1..0....0..0..0..1..1..1

Crossrefs

Sequence in context: A256954 A255029 A257426 * A254235 A254775 A254728

Adjacent sequences: A254239 A254240 A254241 * A254243 A254244 A254245

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 27 2015

Status

approved