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 A227269 T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order 6
 2, 3, 3, 4, 8, 4, 5, 16, 16, 5, 6, 30, 49, 30, 6, 7, 54, 132, 132, 54, 7, 8, 93, 341, 513, 341, 93, 8, 9, 153, 836, 1949, 1949, 836, 153, 9, 10, 241, 1934, 7131, 10906, 7131, 1934, 241, 10, 11, 365, 4232, 24496, 59952, 59952, 24496, 4232, 365, 11, 12, 534, 8804, 78761 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...3....4......5.......6.........7..........8............9............10 ..3...8...16.....30......54........93........153..........241...........365 ..4..16...49....132.....341.......836.......1934.........4232..........8804 ..5..30..132....513....1949......7131......24496........78761........238146 ..6..54..341...1949...10906.....59952.....311644......1513042.......6877791 ..7..93..836...7131...59952....498772....3954995.....29333871.....203340009 ..8.153.1934..24496..311644...3954995...48265519....553278547....5925354448 ..9.241.4232..78761.1513042..29333871..553278547...9879827545..165189287060 .10.365.8804.238146.6877791.203340009.5925354448.165189287060.4332146485870 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 1*n + 1 k=2: a(n) = (1/24)*n^4 + (1/12)*n^3 - (1/24)*n^2 + (47/12)*n - 1 k=3: [polynomial of degree 9] for n>3 k=4: [polynomial of degree 19] for n>7 k=5: [polynomial of degree 39] for n>15 EXAMPLE Some solutions for n=4 k=4 ..1..1..1..1....1..1..0..0....1..1..0..0....1..1..1..1....1..1..0..0 ..1..0..1..1....1..1..1..0....1..1..1..1....1..1..1..0....1..0..0..0 ..1..1..0..1....1..1..1..0....1..1..1..1....1..1..0..0....1..0..0..0 ..1..1..0..1....0..1..1..0....1..0..0..0....1..1..1..0....1..0..0..0 CROSSREFS Sequence in context: A207624 A203990 A238812 * A156353 A239849 A202560 Adjacent sequences: A227266 A227267 A227268 * A227270 A227271 A227272 KEYWORD nonn,tabl AUTHOR R. H. Hardin Jul 04 2013 STATUS approved

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Last modified May 24 13:22 EDT 2024. Contains 372773 sequences. (Running on oeis4.)