A236710 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 of every 2X2 subblock

81, 442, 442, 2464, 3492, 2464, 13720, 27406, 27406, 13720, 76404, 216340, 313360, 216340, 76404, 424600, 1707838, 3607280, 3607280, 1707838, 424600, 2361716, 13499232, 42032622, 62377580, 42032622, 13499232, 2361716, 13136192, 106577620

Offset

1,1

Comments

Table starts

........81.........442..........2464...........13720...........76404

.......442........3492.........27406..........216340.........1707838

......2464.......27406........313360.........3607280........42032622

.....13720......216340.......3607280........62377580......1099360056

.....76404.....1707838......42032622......1099360056.....29705776060

....424600....13499232.....489450096.....19356846358....800348545256

...2361716...106577620....5684197999....338611786558..21427121287833

..13136192...841345444...65906387212...5938320805688.575347045288652

..73071732..6643410412..766873371754.104483857316574

.406402784.52475002544.8913443952908

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 19]

k=2: [order 59] for n>60

Example

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

Crossrefs

Sequence in context: A017630 A270538 A230064 * A236705 A253749 A253375

Adjacent sequences: A236707 A236708 A236709 * A236711 A236712 A236713

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved