A253544 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically

512, 3328, 3328, 20480, 33568, 20480, 119040, 317696, 317696, 119040, 679936, 2801200, 4414976, 2801200, 679936, 3825920, 24576256, 57759744, 57759744, 24576256, 3825920, 21426176, 212432512, 751577856, 1181976144, 751577856

Offset

1,1

Comments

Table starts

.....512......3328......20480.......119040.........679936..........3825920

....3328.....33568.....317696......2801200.......24576256........212432512

...20480....317696....4414976.....57759744......751577856.......9765667072

..119040...2801200...57759744...1181976144....23704397056.....477165435664

..679936..24576256..751577856..23704397056...715564083200...21859274781440

.3825920.212432512.9765667072.477165435664.21859274781440.1014919309654928

Links

R. H. Hardin, Table of n, a(n) for n = 1..240

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -7*a(n-2) -56*a(n-3) +120*a(n-4) -64*a(n-5)

k=2: [order 19]

k=3: [order 21]

k=4: [order 86] for n>93

Example

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

Crossrefs

Sequence in context: A253863 A253856 A253871 * A253537 A254390 A253985

Adjacent sequences: A253541 A253542 A253543 * A253545 A253546 A253547

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 03 2015

Status

approved