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A179004 T(n,k)=Maximum 1's in an nXk binary array with no element equal to a strict majority of its horizontal and vertical neighbors 1
1, 1, 1, 2, 2, 2, 2, 4, 4, 2, 3, 4, 5, 4, 3, 4, 6, 7, 7, 6, 4, 4, 6, 9, 9, 9, 6, 4, 5, 8, 10, 11, 11, 10, 8, 5, 6, 8, 12, 13, 14, 13, 12, 8, 6, 6, 10, 14, 16, 17, 17, 16, 14, 10, 6, 7, 10, 15, 18, 20, 20, 20, 18, 15, 10, 7, 8, 12, 17, 20, 22, 24, 24, 22, 20, 17, 12, 8, 8, 12, 19, 22, 26, 27, 28, 27 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Conjecture: away from boundaries a sliding 101 pattern would fill with a limiting 2/3 1's

Table starts

..1..1..2..2..3..4..4..5..6..6..7..8..8..9.10.10.11.12.12.13

..1..2..4..4..6..6..8..8.10.10.12.12.14.14.16.16.18.18.20

..2..4..5..7..9.10.12.14.15.17.19.20.22.24.25.27.29.30

..2..4..7..9.11.13.16.18.20.22.25.27.29.31.34.36.38

..3..6..9.11.14.17.20.22.26.28.31.34.37.40.43.45

..4..6.10.13.17.20.24.27.30.34.37.41.44.48.51

..4..8.12.16.20.24.28.32.36.40.44.48.52.56

..5..8.14.18.22.27.32.37.42.46.51.56.60

..6.10.15.20.26.30.36.42.47.52.58

..6.10.17.22.28.34.40.46.52.58

..7.12.19.25.31.37.44.51.58

..8.12.20.27.34.41.48.56

..8.14.22.29.37.44.52

..9.14.24.31.40.48

.10.16.25.34.43

.10.16.27.36

.11.18.29

.12.18

.12

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..198

EXAMPLE

Some solutions for 6X6 with maximal 20 1's

..1..1..0..1..0..0....1..1..0..1..0..0....1..1..0..1..0..0....0..1..0..1..0..1

..0..0..1..0..1..1....0..0..1..0..1..1....0..0..1..0..1..1....0..1..1..0..0..1

..1..1..0..1..1..0....1..1..0..1..1..0....1..1..0..1..1..0....1..0..1..1..1..0

..0..1..0..1..0..1....0..1..0..1..0..1....0..1..1..1..0..1....0..1..0..0..1..1

..1..0..1..1..0..0....1..0..1..1..0..1....1..0..0..0..1..0....1..0..1..1..0..0

..1..0..1..0..1..1....1..0..1..0..1..0....1..0..1..1..0..1....1..0..1..0..1..1

CROSSREFS

Sequence in context: A119802 A237120 A060369 * A143979 A034877 A224516

Adjacent sequences:  A179001 A179002 A179003 * A179005 A179006 A179007

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 03 2011

STATUS

approved

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Last modified April 24 16:16 EDT 2019. Contains 322430 sequences. (Running on oeis4.)