A253820 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally and vertically

512, 2700, 2700, 12680, 12992, 12680, 47816, 60392, 60392, 47816, 178752, 181070, 214596, 181070, 178752, 618856, 651937, 554638, 554638, 651937, 618856, 2201616, 2008068, 1826190, 1713952, 1826190, 2008068, 2201616, 7686444, 7125170, 5735723

Offset

1,1

Comments

Table starts

......512......2700.....12680......47816.....178752.....618856.....2201616

.....2700.....12992.....60392.....181070.....651937....2008068.....7125170

....12680.....60392....214596.....554638....1826190....5735723....19727216

....47816....181070....554638....1713952....5585260...19866443....64664493

...178752....651937...1826190....5585260...20991976...75927303...232090516

...618856...2008068...5735723...19866443...75927303..250052478...681245242

..2201616...7125170..19727216...64664493..232090516..681245242..1124641848

..7686444..23696686..63219653..209048111..662686319.1390601653..2291068882

.27456624..83201751.215108264..630001617.1748296756.3467027641..6153419870

.97621664.284492002.694075512.1924934567.4842751104.8832217221.17431190894

Links

R. H. Hardin, Table of n, a(n) for n = 1..241

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

Example

Some solutions for n=2 k=4
..0..0..1..1..0..1....0..0..1..0..1..0....0..0..1..1..0..1....0..1..0..1..0..0
..1..0..1..1..1..0....0..0..1..1..0..1....1..0..1..0..1..0....0..0..0..0..0..1
..1..0..1..1..0..0....1..1..1..0..0..1....1..0..0..0..0..0....1..1..0..1..1..0
..1..1..1..1..0..1....0..1..0..0..0..1....1..0..1..1..1..1....0..1..0..1..0..1

Crossrefs

Sequence in context: A254483 A254476 A254804 * A253813 A254512 A254819

Adjacent sequences: A253817 A253818 A253819 * A253821 A253822 A253823

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 14 2015

Status

approved