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 A235517 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise 8
 16, 58, 58, 209, 382, 209, 746, 2501, 2501, 746, 2660, 16117, 29533, 16117, 2660, 9476, 103736, 343063, 343063, 103736, 9476, 33753, 666171, 3977050, 7186597, 3977050, 666171, 33753, 120216, 4277473, 45985647, 150092214, 150092214, 45985647 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......16.........58..........209.............746...............2660 ......58........382.........2501...........16117.............103736 .....209.......2501........29533..........343063............3977050 .....746......16117.......343063.........7186597..........150092214 ....2660.....103736......3977050.......150092214.........5645191775 ....9476.....666171.....45985647......3125826729.......211711499238 ...33753....4277473....531586422.....65064307612......7934494535832 ..120216...27457539...6142770286...1353709346996....297222406479878 ..428160..176252122..70981491138..28162807605171..11132550506229506 .1524918.1131335938.820170288679.585865208407308.416940408877849294 LINKS R. H. Hardin, Table of n, a(n) for n = 1..143 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -6*a(n-3) +a(n-4) +2*a(n-5) k=2: [order 13] k=3: [order 43] EXAMPLE Some solutions for n=3 k=4 ..0..0..0..0..0....0..0..1..0..0....0..0..0..1..0....0..0..0..1..0 ..0..0..1..0..1....0..1..1..1..1....1..0..1..1..0....0..0..1..1..1 ..1..1..0..0..0....1..1..0..1..0....1..0..0..1..0....1..1..0..1..0 ..1..0..1..0..1....1..0..1..0..0....1..1..1..1..0....1..0..1..0..1 CROSSREFS Sequence in context: A235679 A235449 A235736 * A253428 A005905 A177890 Adjacent sequences:  A235514 A235515 A235516 * A235518 A235519 A235520 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 11 2014 STATUS approved

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Last modified July 31 10:51 EDT 2021. Contains 346373 sequences. (Running on oeis4.)