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 A253350 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 14
 16, 47, 47, 125, 173, 125, 335, 724, 735, 335, 907, 3160, 4800, 3192, 907, 2470, 13810, 31156, 30920, 13917, 2470, 6740, 60368, 200740, 305872, 199512, 60779, 6740, 18406, 263920, 1294016, 3006936, 3013228, 1285960, 265605, 18406, 50278, 1153880 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....16.......47........125..........335............907.............2470 .....47......173........724.........3160..........13810............60368 ....125......735.......4800........31156.........200740..........1294016 ....335.....3192......30920.......305872........3006936.........29746140 ....907....13917.....199512......3013228.......44555528........665370612 ...2470....60779....1285960.....29779356......664592224......15101198444 ...6740...265605....8289288....294392852.....9887498224.....340936886060 ..18406..1161035...53433608...2912660356...147292687568....7720152604732 ..50278..5075841..344449224..28819853684..2193102920288..174647893015868 .137354.22191959.2220470152.285212776212.32661849908016.3953303875494396 LINKS R. H. Hardin, Table of n, a(n) for n = 1..361 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -2*a(n-3) for n>6 k=2: a(n) = 6*a(n-1) -5*a(n-2) -12*a(n-3) +12*a(n-4) for n>6 k=3: [order 7] for n>8 k=4: [order 11] for n>14 k=5: [order 23] for n>25 k=6: [order 43] for n>46 k=7: [order 84] for n>87 Empirical for row n: n=1: a(n) = 3*a(n-1) -2*a(n-3) for n>6 n=2: a(n) = 5*a(n-1) -12*a(n-3) for n>6 n=3: [order 7] for n>10 n=4: [order 11] for n>15 n=5: [order 23] for n>26 n=6: [order 43] for n>47 n=7: [order 84] for n>88 EXAMPLE Some solutions for n=3 k=4 ..1..0..0..1..1....0..1..0..0..0....0..1..1..1..1....1..1..1..1..1 ..1..1..1..1..0....1..1..1..1..1....1..1..1..0..0....0..0..0..1..0 ..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....1..1..1..1..0 ..0..0..0..1..0....0..0..1..0..1....0..0..0..0..0....0..0..1..1..0 CROSSREFS Column 1 and row 1 are A204609 Sequence in context: A126370 A133345 A253231 * A204616 A204800 A194268 Adjacent sequences: A253347 A253348 A253349 * A253351 A253352 A253353 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 30 2014 STATUS approved

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Last modified January 28 18:35 EST 2023. Contains 359905 sequences. (Running on oeis4.)