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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 December 6 15:23 EST 2021. Contains 349563 sequences. (Running on oeis4.)