login
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
15
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 25 2015
STATUS
approved