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

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

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: A044794 A350198 A236884 * A236877 A236721 A255110

Adjacent sequences: A236725 A236726 A236727 * A236729 A236730 A236731

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved