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 A266935 T(n,k)=Number of nXk binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. 12
 2, 2, 3, 2, 4, 4, 2, 4, 7, 5, 2, 5, 9, 12, 6, 2, 5, 12, 20, 19, 7, 2, 6, 14, 35, 44, 29, 8, 2, 6, 19, 52, 100, 92, 42, 9, 2, 7, 21, 82, 210, 288, 182, 59, 10, 2, 7, 26, 115, 429, 871, 794, 340, 80, 11, 2, 8, 30, 169, 816, 2577, 3566, 2077, 605, 106, 12, 2, 8, 35, 232, 1534, 7185 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...2....2.....2......2.......2........2..........2.........2.........2 ..3...4....4.....5......5.......6........6..........7.........7.........8 ..4...7....9....12.....14......19.......21.........26........30........35 ..5..12...20....35.....52......82......115........169.......232.......322 ..6..19...44...100....210.....429......816.......1534......2727......4753 ..7..29...92...288....871....2577.....7185......19529.....50216....125786 ..8..42..182...794...3566...15850....68890.....288333...1155281...4410923 ..9..59..340..2077..13899...96503...671796....4605960..30319512.191420936 .10..80..605..5110..50841..555060..6347005...73046059.821453747 .11.106.1028.11869.173470.2977370.56180274.1104862960 LINKS R. H. Hardin, Table of n, a(n) for n = 1..160 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 11] k=4: [order 31] Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = a(n-1) +a(n-2) -a(n-3) n=3: a(n) = a(n-1) +a(n-2) -a(n-4) -a(n-5) +a(n-6) n=4: [order 17] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..1....0..0..1..1....0..0..0..1....0..0..0..0....0..0..1..1 ..0..1..1..0....1..1..0..0....1..1..1..0....0..0..0..0....1..1..0..0 ..1..0..0..1....1..1..1..1....1..1..1..1....0..0..0..1....1..1..0..0 ..1..1..1..0....1..1..1..1....1..1..1..1....1..1..1..0....1..1..1..1 CROSSREFS Column 1 is A000027(n+1). Column 2 is A266464. Row 2 is A004526(n+6). Sequence in context: A218700 A325331 A333108 * A175012 A051693 A266470 Adjacent sequences:  A266932 A266933 A266934 * A266936 A266937 A266938 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 06 2016 STATUS approved

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Last modified September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)