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 A266470 T(n,k)=Number of nXk binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing. 12
 2, 2, 3, 2, 4, 4, 2, 5, 7, 5, 2, 6, 12, 12, 6, 2, 7, 19, 29, 19, 7, 2, 8, 28, 66, 67, 29, 8, 2, 9, 39, 137, 232, 147, 42, 9, 2, 10, 52, 261, 735, 794, 303, 59, 10, 2, 11, 67, 463, 2090, 4074, 2574, 590, 80, 11, 2, 12, 84, 775, 5371, 18808, 22128, 7797, 1090, 106, 12, 2, 13, 103 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...2....2.....2.......2.........2..........2............2.............2 ..3...4....5.....6.......7.........8..........9...........10............11 ..4...7...12....19......28........39.........52...........67............84 ..5..12...29....66.....137.......261........463..........775..........1237 ..6..19...67...232.....735......2090.......5371........12645.........27639 ..7..29..147...794....4074.....18808......77320.......285494........959672 ..8..42..303..2574...22128....175180....1231170......7652503......42460424 ..9..59..590..7797..113677...1595005...20115063....223521350....2195862381 .10..80.1090.22058..544142..13720886..319006954...6568208183..119000455681 .11.106.1922.58469.2417707.109830369.4768598707.185724489849.6373048347212 LINKS R. H. Hardin, Table of n, a(n) for n = 1..163 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) k=2: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5) k=3: [order 12] Empirical for row n: n=1: a(n) = 2 n=2: a(n) = n + 2 n=3: a(n) = n^2 + 3 n=4: [polynomial of degree 5] n=5: [polynomial of degree 9] n=6: [polynomial of degree 19] n=7: [polynomial of degree 34] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..1 ..0..0..0..1....0..0..1..0....0..0..0..1....0..0..1..1....0..0..1..0 ..0..1..1..0....1..1..0..0....1..1..1..0....1..1..0..0....1..1..0..0 ..1..0..0..0....1..1..1..0....1..1..1..1....1..1..1..1....1..1..0..0 CROSSREFS Column 1 is A000027(n+1). Row 2 is A000027(n+2). Row 3 is A117950. Sequence in context: A266935 A175012 A051693 * A209700 A115980 A088936 Adjacent sequences:  A266467 A266468 A266469 * A266471 A266472 A266473 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 29 2015 STATUS approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)