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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 2X2 subblock equal 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A183995 A044413 A044794 * A236728 A236877 A236721

Adjacent sequences:  A236881 A236882 A236883 * A236885 A236886 A236887

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2014

STATUS

approved

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Last modified September 21 04:45 EDT 2020. Contains 337266 sequences. (Running on oeis4.)