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

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Last modified February 25 19:44 EST 2024. Contains 370332 sequences. (Running on oeis4.)