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 A235736 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 columnwise and nonincreasing rowwise 8
 16, 58, 58, 209, 380, 209, 746, 2481, 2481, 746, 2660, 15963, 29130, 15963, 2660, 9476, 102683, 337412, 337412, 102683, 9476, 33753, 659235, 3906424, 7041734, 3906424, 659235, 33753, 120216, 4232565, 45143913, 146785037, 146785037, 45143913 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......16.........58..........209.............746...............2660 ......58........380.........2481...........15963.............102683 .....209.......2481........29130..........337412............3906424 .....746......15963.......337412.........7041734..........146785037 ....2660.....102683......3906424.......146785037.........5507798734 ....9476.....659235.....45143913......3054397001.......206338701948 ...33753....4232565....521746721.....63554803821......7729359642112 ..120216...27168327...6028565252...1322113787590....289479683332559 ..428160..174393813..69659874030..27503978998503..10841634018438254 .1524918.1119403274.804890692193.572147678579818.406031478000180997 LINKS R. H. Hardin, Table of n, a(n) for n = 1..179 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 34] k=4: [order 86] EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1..0....0..0..1..0..0....0..0..0..1..1....0..1..0..1..0 ..0..0..0..0..0....1..1..0..1..1....1..1..1..1..1....0..0..0..0..1 ..0..1..0..1..0....1..0..1..0..0....0..0..1..0..0....0..1..1..0..0 ..0..1..0..0..0....1..1..1..1..1....1..0..1..0..1....0..0..0..1..1 CROSSREFS Column 1 is A235510 Sequence in context: A223313 A235679 A235449 * A235517 A253428 A005905 Adjacent sequences:  A235733 A235734 A235735 * A235737 A235738 A235739 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 15 2014 STATUS approved

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Last modified October 17 01:09 EDT 2018. Contains 316275 sequences. (Running on oeis4.)