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A232352
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, vertical, diagonal or antidiagonal neighbor
9
21, 207, 207, 1461, 5309, 1461, 10503, 111607, 111607, 10503, 77613, 2435979, 6753291, 2435979, 77613, 575087, 53921761, 426813751, 426813751, 53921761, 575087, 4251717, 1191667231, 27382170933, 78572361735, 27382170933
OFFSET
1,1
COMMENTS
Table starts
......21.........207............1461..............10503..................77613
.....207........5309..........111607............2435979...............53921761
....1461......111607.........6753291..........426813751............27382170933
...10503.....2435979.......426813751........78572361735.........14731243506141
...77613....53921761.....27382170933.....14731243506141.......8085496134786969
..575087..1191667231...1753672323629...2756810145406537....4428150541972594011
.4251717.26307585827.112198453386465.515279597419726895.2421920880450861585787
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 8]
k=2: [order 23]
k=3: [order 80]
EXAMPLE
Some solutions for n=2 k=4
..0..0..1..2..2....0..0..2..0..0....0..0..1..2..1....0..0..1..0..1
..0..1..0..2..1....0..2..1..2..1....0..0..2..1..2....0..2..0..0..2
..0..1..1..0..2....0..0..1..1..1....0..2..0..0..1....0..2..0..2..1
CROSSREFS
Sequence in context: A339521 A160768 A160769 * A166190 A232345 A036205
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 22 2013
STATUS
approved