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 A267788 T(n,k)=Number of nXk 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value. 12
 2, 4, 4, 8, 16, 6, 15, 64, 36, 9, 28, 225, 216, 81, 12, 51, 784, 1056, 729, 144, 16, 92, 2601, 5004, 5081, 1728, 256, 20, 164, 8464, 22110, 34173, 14956, 4096, 400, 25, 290, 26896, 94554, 211555, 122770, 44742, 8000, 625, 30, 509, 84100, 391314, 1262760, 912667 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4.....8.....15.......28........51.........92.........164..........290 ..4...16....64....225......784......2601.......8464.......26896........84100 ..6...36...216...1056.....5004.....22110......94554......391314......1582824 ..9...81...729...5081....34173....211555....1262760.....7263481.....40755550 .12..144..1728..14956...122770....912667....6484282....44116906....291598056 .16..256..4096..44742...460598...4245574...37282358...312449872...2540944329 .20..400..8000.102954..1234716..13126812..132388406..1271314080..11831791048 .25..625.15625.238813..3380133..42012357..494152778..5520112546..59723941668 .30..900.27000.472174..7591852.106570618.1413416776.17806098826.217360101006 .36.1296.46656.935890.17155354.272337497.4075463059.57801662876.793861159136 LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4) k=2: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +6*a(n-5) -2*a(n-6) -2*a(n-7) +a(n-8) k=3: [order 12] k=4: [order 16] for n>18 k=5: [order 20] for n>22 k=6: [order 24] for n>27 Empirical for row n: n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) n=2: [order 9] n=3: [order 12] n=4: [order 93] EXAMPLE Some solutions for n=4 k=4 ..1..0..1..0....1..0..0..0....0..1..0..0....1..1..1..0....1..1..0..1 ..0..1..0..1....1..1..0..1....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..1..0....0..0..1..1....1..1..1..1....0..1..0..1....1..1..1..1 ..1..1..1..1....1..0..0..0....1..0..1..0....1..1..1..1....1..0..0..0 CROSSREFS Column 1 is A002620(n+2). Column 2 is A030179(n+2). Row 1 is A029907(n+1). Row 2 is A267729. Sequence in context: A297094 A283282 A181253 * A189696 A189196 A188747 Adjacent sequences:  A267785 A267786 A267787 * A267789 A267790 A267791 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 20 2016 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)