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A231144 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with upper left element zero 7
18, 100, 100, 570, 1470, 570, 3234, 22870, 22870, 3234, 18376, 352444, 966000, 352444, 18376, 104386, 5441634, 40511376, 40511376, 5441634, 104386, 593022, 83985430, 1701515682, 4626094668, 1701515682, 83985430, 593022, 3368932 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......18.........100.............570...............3234..................18376

.....100........1470...........22870.............352444................5441634

.....570.......22870..........966000...........40511376.............1701515682

....3234......352444........40511376.........4626094668...........529060553286

...18376.....5441634......1701515682.......529060553286........164741494324216

..104386....83985430.....71441888932.....60486059723578......51281497817007082

..593022..1296319964...2999853495524...6915679126693682...15964241855641274098

.3368932.20008457170.125962412008712.790693817413947310.4969695835577646212284

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4)

k=2: [order 11]

k=3: [order 46]

EXAMPLE

Some solutions for n=1 k=4

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

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

CROSSREFS

Sequence in context: A221911 A263999 A087638 * A259231 A064604 A301542

Adjacent sequences:  A231141 A231142 A231143 * A231145 A231146 A231147

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 04 2013

STATUS

approved

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Last modified July 30 04:18 EDT 2021. Contains 346348 sequences. (Running on oeis4.)