A237090 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

256, 912, 912, 3274, 3968, 3274, 12590, 17636, 17636, 12590, 48864, 84918, 96104, 84918, 48864, 194812, 412158, 578486, 578486, 412158, 194812, 782024, 2074898, 3497586, 4428988, 3497586, 2074898, 782024, 3181960, 10501584, 22239606

Offset

1,1

Comments

Table starts

......256........912........3274.........12590..........48864..........194812

......912.......3968.......17636.........84918.........412158.........2074898

.....3274......17636.......96104........578486........3497586........22239606

....12590......84918......578486.......4428988.......33954418.......276471206

....48864.....412158.....3497586......33954418......329386610......3424504396

...194812....2074898....22239606.....276471206.....3424504396.....45670475702

...782024...10501584...141915177....2256243854....35657488703....609352466155

..3181960...54426654...938113698...19251013930...391169928184...8607861479546

.13011114..283246634..6226900258..165074810168..4318045934033.122517160329006

.53658914.1501153826.42501875752.1468740268436.49828393684132

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 39]

Example

Some solutions for n=3 k=4
..0..1..1..2..1....0..1..3..2..2....0..3..2..0..2....0..3..1..2..1
..2..2..3..1..3....2..3..1..0..2....2..1..2..2..2....2..1..3..2..3
..0..1..1..2..1....1..2..2..3..1....3..2..3..1..3....0..3..1..2..3
..1..3..0..2..0....0..3..3..2..2....2..3..2..2..0....3..0..2..3..2

Crossrefs

Sequence in context: A236987 A236980 A224975 * A224968 A237083 A220764

Adjacent sequences: A237087 A237088 A237089 * A237091 A237092 A237093

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2014

Status

approved