A235784 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

81, 537, 537, 3199, 7331, 3199, 17837, 86691, 86369, 17837, 95679, 922543, 1998795, 924323, 95679, 498597, 9242949, 40810011, 41559689, 9324103, 498597, 2546207, 88065309, 775083193, 1647458581, 807571787, 89825051, 2546207, 12796069

Offset

1,1

Comments

Table starts

........81.........537..........3199..........17837...........95679

.......537........7331.........86691.........922543.........9242949

......3199.......86369.......1998795.......40810011.......775083193

.....17837......924323......41559689.....1647458581.....60893670493

.....95679.....9324103.....807571787....62858483545...4645650679435

....498597....89825051...14878043073..2297557298259.350192741862675

...2546207...837434835..263391351981.81417506954285

..12796069..7600810347.4508888392477

..63520287.67576585873

.312150917

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 59]

Empirical for row n:

n=1: [linear recurrence of order 10]

n=2: [order 49]

Example

Some solutions for n=2 k=4
..0..0..0..0..2....0..0..0..2..1....0..0..1..1..1....0..1..2..0..2
..0..1..1..2..0....0..1..0..0..0....2..1..0..0..0....2..1..0..0..1
..2..1..1..1..1....1..1..2..0..2....1..2..2..1..2....1..0..0..1..1

Crossrefs

Column 1 and row 1 are A235560

Sequence in context: A236658 A236641 A253307 * A235565 A235560 A253468

Adjacent sequences: A235781 A235782 A235783 * A235785 A235786 A235787

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved