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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 29 09:21 EDT 2022. Contains 354910 sequences. (Running on oeis4.)