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.

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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences: A251117 A251118 A251119 * A251121 A251122 A251123

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2014

Status

approved