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A251120
T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with nondecreasing maximum of every two consecutive values in every row and column.
7
256, 2500, 2500, 22500, 64660, 22500, 173056, 1494029, 1494029, 173056, 1252161, 27945953, 86208566, 27945953, 1252161, 8444836, 480842776, 3816838692, 3816838692, 480842776, 8444836, 54700816, 7521121248, 152303295344
OFFSET
1,1
COMMENTS
Table starts
......256.........2500...........22500.............173056...............1252161
.....2500........64660.........1494029...........27945953.............480842776
....22500......1494029........86208566.........3816838692..........152303295344
...173056.....27945953......3816838692.......384534346812........34305606524366
..1252161....480842776....152303295344.....34305606524366......6735269828703846
..8444836...7521121248...5387348466660...2665290749762401...1132975802012504908
.54700816.111353209662.177938935415798.191258469961340217.174360788514275098552
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 26]
EXAMPLE
Some solutions for n=2, k=4
..0..0..0..0..0....0..0..0..2..2....0..0..0..2..3....0..0..2..0..2
..0..0..0..1..3....0..0..0..0..2....0..0..0..0..3....0..0..0..0..0
..1..2..2..2..2....0..2..1..2..2....0..3..2..3..3....0..1..3..3..2
CROSSREFS
Sequence in context: A016780 A236041 A236037 * A251114 A205181 A205277
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 30 2014
STATUS
approved