A236651 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock

81, 484, 484, 2932, 4500, 2932, 17824, 41980, 41980, 17824, 108272, 394380, 608656, 394380, 108272, 655100, 3668492, 8891884, 8891884, 3668492, 655100, 3970468, 34234336, 128476048, 204824360, 128476048, 34234336, 3970468, 24093844

Offset

1,1

Comments

Table starts

........81.........484.........2932.........17824........108272........655100

.......484........4500........41980........394380.......3668492......34234336

......2932.......41980.......608656.......8891884.....128476048....1869749396

.....17824......394380......8891884.....204824360....4639468308..106762847796

....108272.....3668492....128476048....4639468308..164401921546.5963465890608

....655100....34234336...1869749396..106762847796.5963465890608

...3970468...319904840..27242456824.2451445050484

..24093844..2991463632.396368005036

.146112996.27901011760

.885471428

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 38] for n>39

Example

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

Crossrefs

Sequence in context: A253400 A250620 A237082 * A295018 A250613 A237077

Adjacent sequences: A236648 A236649 A236650 * A236652 A236653 A236654

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved