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A236728 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal 9
81, 211, 211, 550, 639, 550, 1517, 1956, 1956, 1517, 4227, 6469, 6879, 6469, 4227, 12072, 21829, 26724, 26724, 21829, 12072, 34817, 76632, 105206, 127113, 105206, 76632, 34817, 101881, 274715, 437291, 607539, 607539, 437291, 274715, 101881 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....81......211.......550.......1517........4227........12072..........34817

....211......639......1956.......6469.......21829........76632.........274715

....550.....1956......6879......26724......105206.......437291........1848980

...1517.....6469.....26724.....127113......607539......3160902.......16715765

...4227....21829....105206.....607539.....3413516.....21593010......134575906

..12072....76632....437291....3160902....21593010....173486981.....1348210352

..34817...274715...1848980...16715765...134575906...1348210352....12274465993

.101881..1011801...8110850...93822025...924460811..12005446008...137842125459

.300694..3796026..36063603..532796164..6207464355.102540924177..1381237105116

.896941.14529341.164600818.3156424373.45401368428.988394918974.17192183061068

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 20]

k=2: [order 41]

k=3: [order 81]

EXAMPLE

Some solutions for n=4 k=4

..1..2..1..2..1....2..1..1..2..1....0..0..0..1..2....1..2..1..0..1

..2..0..2..0..2....1..2..2..1..0....2..2..2..1..2....0..2..2..2..2

..2..1..2..1..2....0..1..1..2..1....2..2..2..1..2....2..1..0..1..0

..2..0..2..2..2....1..2..0..1..2....2..2..2..1..2....2..2..2..2..2

..2..1..2..1..0....1..0..2..1..0....0..0..0..1..2....2..1..0..1..2

CROSSREFS

Sequence in context: A044413 A044794 A236884 * A236877 A236721 A255110

Adjacent sequences:  A236725 A236726 A236727 * A236729 A236730 A236731

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 30 2014

STATUS

approved

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Last modified August 4 17:18 EDT 2020. Contains 336202 sequences. (Running on oeis4.)