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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 15 2014
STATUS
approved

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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)