A236884 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2 X 2 subblock equal.

81, 211, 211, 537, 669, 537, 1523, 2111, 2111, 1523, 4309, 7995, 7900, 7995, 4309, 12723, 29673, 40199, 40199, 29673, 12723, 37701, 117703, 189527, 316921, 189527, 117703, 37701, 113771, 462885, 1031110, 2265637, 2265637, 1031110, 462885

Offset

1,1

Comments

Table starts

......81......211.......537.........1523..........4309...........12723

.....211......669......2111.........7995.........29673..........117703

.....537.....2111......7900........40199........189527.........1031110

....1523.....7995.....40199.......316921.......2265637........19772641

....4309....29673....189527......2265637......23065072.......308682677

...12723...117703...1031110.....19772641.....308682677......6486271600

...37701...462885...5389465....163853211....3749944595....120596994045

..113771..1868937..30143115...1470283561...50416764317...2482328271821

..344885..7534429.165929972..12922658673..649519074615..48561262896722

.1055235.30744153.944003155.117130624281.8682755057576.984788620200753

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 31]

k=3: [order 63]

Example

Some solutions for n=3, k=4
..2..2..2..2..1....0..2..1..2..1....2..2..2..2..2....2..2..0..2..1
..2..2..2..2..2....2..1..2..0..2....2..2..2..0..2....0..2..2..2..2
..2..2..1..2..1....2..1..2..1..2....2..2..2..2..2....2..2..2..2..0
..1..2..2..2..2....2..1..2..1..2....1..2..0..2..1....1..2..1..2..2

Crossrefs

Sequence in context: A044413 A044794 A350198 * A236728 A236877 A236721

Adjacent sequences: A236881 A236882 A236883 * A236885 A236886 A236887

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2014

Status

approved