A254092 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3436, 3436, 22728, 37961, 22728, 148004, 437412, 438463, 148004, 977192, 5131608, 9231485, 5146916, 977192, 6446656, 60404379, 194360930, 194642351, 60605766, 6446656, 42580424, 708989540, 4070778350, 7181975282, 4074710828

Offset

1,1

Comments

Table starts

.......512........3436..........22728............148004..............977192

......3436.......37961.........437412...........5131608............60404379

.....22728......438463........9231485.........194360930..........4070778350

....148004.....5146916......194642351........7181975282........264423470022

....977192....60605766.....4074710828......264184393944......17184949015860

...6446656...710699434....85580284203.....9764722253800....1124256442364024

..42580424..8345076092..1797518333568...360366996893272...73410212260111376

.281186200.97946001730.37753559435660.13302280322759188.4793743396389995848

Links

R. H. Hardin, Table of n, a(n) for n = 1..286

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>17

k=2: [order 37] for n>42

k=3: [order 96] for n>99

Empirical for row n:

n=1: [same linear recurrence of order 10] for n>17

n=2: [same order 37] for n>41

n=3: [order 64] for n>70

Example

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

Crossrefs

Sequence in context: A253978 A250574 A016995 * A254085 A197710 A198074

Adjacent sequences: A254089 A254090 A254091 * A254093 A254094 A254095

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 25 2015

Status

approved