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 A251268 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01 14
 11, 26, 35, 57, 114, 108, 120, 313, 480, 337, 247, 772, 1667, 2058, 1049, 502, 1775, 4930, 9109, 8812, 3268, 1013, 3894, 13052, 32636, 49872, 37772, 10179, 2036, 8277, 31936, 100843, 217634, 273607, 161906, 31707, 4083, 17224, 73805, 279718, 790734 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....11.......26........57........120.........247..........502.........1013 .....35......114.......313........772........1775.........3894.........8277 ....108......480......1667.......4930.......13052........31936........73805 ....337.....2058......9109......32636......100843.......279718.......715685 ...1049.....8812.....49872.....217634......790734......2510004......7189937 ...3268....37772....273607....1457326.....6247708.....22806904.....73607411 ..10179...161906...1501739....9772880....49523566....208452452....760734085 ..31707...694042...8244503...65582500...393172015...1910905110...7901650053 ..98764..2975162..45265163..440223510..3123669457..17543333688..82288916360 .307641.12753740.248529844.2955392154.24825649060.161181383956.858174176431 LINKS R. H. Hardin, Table of n, a(n) for n = 1..479 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) +a(n-2) -2*a(n-3) k=2: a(n) = 5*a(n-1) -2*a(n-2) -5*a(n-3) +2*a(n-4) k=3: [order 10] k=4: [order 16] k=5: [order 36] k=6: [order 62] Empirical for row n: n=1: a(n) = 4*a(n-1) -5*a(n-2) +2*a(n-3) n=2: a(n) = 6*a(n-1) -14*a(n-2) +16*a(n-3) -9*a(n-4) +2*a(n-5) n=3: [order 8] n=4: [order 10] n=5: [order 12] n=6: [order 14] n=7: [order 16] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..0..0....0..1..1..1..1....0..0..0..0..1....0..0..1..0..1 ..1..1..1..1..1....0..0..0..1..1....0..1..1..1..1....0..0..0..1..1 ..1..1..1..1..1....1..1..1..1..1....0..0..0..0..0....0..1..1..1..1 ..1..1..1..1..1....0..0..0..0..0....0..0..1..1..1....0..0..0..0..0 ..0..0..0..0..1....0..0..1..1..1....0..1..0..1..1....0..0..1..1..1 CROSSREFS Column 1 is A052550(n+2) Row 1 is A000295(n+3) Sequence in context: A137015 A260903 A316315 * A174223 A247466 A329809 Adjacent sequences:  A251265 A251266 A251267 * A251269 A251270 A251271 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 01 2014 STATUS approved

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Last modified April 10 18:04 EDT 2021. Contains 342852 sequences. (Running on oeis4.)