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

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

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 A359435

Adjacent sequences: A231141 A231142 A231143 * A231145 A231146 A231147

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 04 2013

Status

approved