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A239178 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors 16
6, 26, 12, 98, 82, 36, 378, 514, 676, 96, 1512, 3358, 9604, 4338, 264, 6018, 22396, 142884, 130890, 29380, 720, 23890, 148820, 2286144, 4140964, 1876940, 196698, 1968, 94846, 990458, 36216324, 141857204, 127574544, 26726740, 1321986, 5376 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....6......26.........98...........378.............1512................6018

...12......82........514..........3358............22396..............148820

...36.....676.......9604........142884..........2286144............36216324

...96....4338.....130890.......4140964........141857204..........4845741276

..264...29380....1876940.....127574544.......9704723126........733415243746

..720..196698...26726740....3901908720.....652274371446.....108383467365104

.1968.1321986..381984614..119751372066...44086966064930...16126266923705212

.5376.8867938.5442841504.3664449484670.2970697967221324.2391741572658733884

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

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

k=2: [order 19]

k=3: [order 67]

Empirical for row n:

n=1: a(n) = 4*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -4*a(n-5) +a(n-6)

n=2: [order 31]

n=3: [order 21]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A329819 A337400 A036175 * A154869 A043354 A023727

Adjacent sequences:  A239175 A239176 A239177 * A239179 A239180 A239181

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 11 2014

STATUS

approved

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Last modified June 27 13:59 EDT 2022. Contains 354896 sequences. (Running on oeis4.)