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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 October 20 23:39 EDT 2018. Contains 316405 sequences. (Running on oeis4.)