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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

R. H. Hardin, Table of n, a(n) for n = 1..50

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

Adjacent sequences: A234390 A234391 A234392 * A234394 A234395 A234396

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 25 2013

STATUS

approved

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Last modified January 30 08:53 EST 2023. Contains 359942 sequences. (Running on oeis4.)