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 A183312 T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors 10
 1, 1, 1, 1, 3, 1, 2, 4, 4, 2, 3, 6, 9, 6, 3, 5, 9, 19, 19, 9, 5, 8, 14, 42, 55, 42, 14, 8, 13, 22, 93, 178, 178, 93, 22, 13, 21, 35, 205, 572, 910, 572, 205, 35, 21, 34, 56, 452, 1798, 4212, 4212, 1798, 452, 56, 34, 55, 90, 997, 5700, 19899, 29400, 19899, 5700, 997, 90, 55, 89 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Same solutions for no element unequal to a strict majority of its horizontal and vertical neighbors, via xor with a 0101... checkerboard pattern Table starts ..1..1....1.....2.......3........5..........8..........13............21 ..1..3....4.....6.......9.......14.........22..........35............56 ..1..4....9....19......42.......93........205.........452...........997 ..2..6...19....55.....178......572.......1798........5700.........18064 ..3..9...42...178.....910.....4212......19899.......94217........445859 ..5.14...93...572....4212....29400.....206755.....1447110......10149621 ..8.22..205..1798...19899...206755....2160250....22504107.....234636215 .13.35..452..5700...94217..1447110...22504107...348871589....5406312318 .21.56..997.18064..445859.10149621..234636215..5406312318..124597748299 .34.90.2199.57249.2113257.71244598.2447317278.83828453334.2872365166632 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 EXAMPLE Some solutions with a(1,1)=0 for 6X6 ..0..1..0..1..0..0....0..1..1..0..0..1....0..1..1..0..0..1....0..1..0..1..0..0 ..1..1..0..0..1..1....1..0..0..1..1..0....1..0..0..1..1..0....0..1..1..0..1..1 ..0..0..1..1..0..0....0..1..0..0..1..0....0..0..1..0..0..1....1..0..1..1..0..0 ..1..1..1..0..1..1....0..1..1..0..0..1....1..1..0..1..1..0....0..1..0..0..1..1 ..0..0..0..1..0..0....1..0..0..1..0..0....0..1..0..0..1..0....1..0..0..1..0..0 ..1..1..0..1..0..1....0..1..1..0..1..1....1..0..1..1..0..1....1..0..1..0..1..1 CROSSREFS Column 1 is A000045(n-1) for n>1 Column 2 is A000045(n+1)+1 for n>1 Sequence in context: A049992 A227147 A074585 * A108038 A151845 A230448 Adjacent sequences:  A183309 A183310 A183311 * A183313 A183314 A183315 KEYWORD nonn,tabl AUTHOR R. H. Hardin Jan 03 2011 STATUS approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)