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A234393 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards 9
196316, 10683130, 9292808, 585790562, 1687142836, 426876528, 32129615500, 312048302829, 252617381130, 19562241288, 1761338821822, 57796098504371, 153633836957604, 37540308719262, 893326493316, 96553476935058 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.......196316.........10683130............585790562..............32129615500
......9292808.......1687142836.........312048302829...........57796098504371
....426876528.....252617381130......153633836957604........93663449566825996
..19562241288...37540308719262....74663552616253924....148995535070508548075
.893326493316.5540782611170014.35875918677964045614.233248382982183041074476
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 44]
Empirical for row n:
n=1: [linear recurrence of order 20]
n=2: [order 85]
EXAMPLE
Some solutions for n=1 k=4
..0..0..0..1..1..3....0..0..0..0..3..0....0..0..0..1..2..0....0..0..0..1..3..1
..0..0..0..1..0..0....0..0..0..1..0..0....0..0..0..1..0..3....0..0..0..0..1..1
..0..0..0..2..1..0....0..0..0..0..1..2....0..0..0..0..1..1....0..0..0..2..3..1
CROSSREFS
Sequence in context: A074388 A234996 A234389 * A234394 A202434 A179253
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 25 2013
STATUS
approved

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Last modified July 23 18:56 EDT 2024. Contains 374553 sequences. (Running on oeis4.)