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A238323 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors 8
3, 9, 9, 22, 67, 22, 51, 376, 376, 51, 121, 1867, 4294, 1867, 121, 292, 9489, 41046, 41046, 9489, 292, 704, 50232, 405636, 721939, 405636, 50232, 704, 1691, 267174, 4245918, 13265123, 13265123, 4245918, 267174, 1691, 4059, 1408341, 44773061 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3.......9.........22............51.............121................292

....9......67........376..........1867............9489..............50232

...22.....376.......4294.........41046..........405636............4245918

...51....1867......41046........721939........13265123..........261676376

..121....9489.....405636......13265123.......459256128........17315827838

..292...50232....4245918.....261676376.....17315827838......1266938409578

..704..267174...44773061....5206684654....658399071392.....93481623913793

.1691.1408341..466364332..102053610873..24577532667851...6747651769489946

.4059.7395987.4831077908.1987295524193.910817281935043.483084194221969236

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -a(n-4) +a(n-5)

k=2: [order 13]

k=3: [order 43]

EXAMPLE

Some solutions for n=3 k=4

..2..2..2..2..0....2..2..1..0..0....2..2..2..1..1....2..2..2..1..0

..2..2..2..0..0....1..1..0..0..0....0..2..2..1..1....2..2..1..1..0

..2..2..2..0..0....1..1..0..0..0....0..2..2..1..1....0..0..1..1..0

..2..2..2..1..1....1..1..2..2..1....2..2..2..1..1....0..0..1..1..0

CROSSREFS

Column 1 is A202882(n+1)

Sequence in context: A224057 A224310 A224374 * A223742 A223725 A223831

Adjacent sequences:  A238320 A238321 A238322 * A238324 A238325 A238326

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 24 2014

STATUS

approved

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Last modified August 17 22:59 EDT 2019. Contains 326059 sequences. (Running on oeis4.)