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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 3 01:39 EDT 2020. Contains 333195 sequences. (Running on oeis4.)