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A250826
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with nondecreasing maximum minus minimum of every three consecutive values in every row and column
7
512, 2744, 2744, 13824, 22874, 13824, 64000, 176184, 176184, 64000, 287496, 1217728, 2040816, 1217728, 287496, 1259712, 8095062, 20732624, 20732624, 8095062, 1259712, 5451776, 52143132, 200874408, 302915648, 200874408, 52143132
OFFSET
1,1
COMMENTS
Table starts
.......512........2744..........13824...........64000..........287496
......2744.......22874.........176184.........1217728.........8095062
.....13824......176184........2040816........20732624.......200874408
.....64000.....1217728.......20732624.......302915648......4186865990
....287496.....8095062......200874408......4186865990.....81917131662
...1259712....52143132.....1873942536.....55391628438...1525209775370
...5451776...330659096....17157277544....717128181424..27712939162396
..23393656..2074791394...155136190168...9152761172914.495562964644754
..99897344.12942194000..1393116306944.115912443947616
.425259008.80432210624.12456789266800
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10]
k=2: [order 29]
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..1..0..1....0..0..0..1..0..0....0..0..0..0..0..0....0..0..0..0..0..1
..0..0..0..1..0..0....1..0..0..1..0..0....0..1..0..1..0..0....0..0..1..0..0..1
..1..1..0..1..0..1....1..0..1..0..0..1....0..0..0..0..0..1....0..1..0..1..0..0
..1..1..1..0..1..1....0..0..1..0..1..1....0..0..1..0..0..1....0..0..0..0..0..1
CROSSREFS
Sequence in context: A253993 A258910 A253986 * A250504 A250820 A250497
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 27 2014
STATUS
approved