A236118 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the maximum and the upper median in each 2X2 subblock.

256, 2248, 2248, 20000, 35468, 20000, 175096, 542140, 542140, 175096, 1538144, 8253392, 14423874, 8253392, 1538144, 13525664, 126117020, 375889812, 375889812, 126117020, 13525664, 118990080, 1934727612, 10125262296, 18228584298

Offset

1,1

Comments

Table starts

.........256..........2248...........20000...........175096..........1538144

........2248.........35468..........542140..........8253392........126117020

.......20000........542140........14423874........375889812......10125262296

......175096.......8253392.......375889812......18228584298.....918481481856

.....1538144.....126117020.....10125262296.....918481481856...90225427419130

....13525664....1934727612....274910404616...47538640366310.9012213136881004

...118990080...29594969044...7486885637764.2439572433329864

..1045666976..452447788292.202400378694944

..9189157840.6920035929192

.80777516672

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 18] for n>19

k=2: [order 84]

Example

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

Crossrefs

Sequence in context: A207792 A236500 A236495 * A236113 A235521 A235652

Adjacent sequences: A236115 A236116 A236117 * A236119 A236120 A236121

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 19 2014

Status

approved