A237182 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the minimum minus the lower median of every 2X2 subblock

81, 402, 402, 2061, 2700, 2061, 10488, 18062, 18062, 10488, 53401, 122882, 167387, 122882, 53401, 271420, 836966, 1580672, 1580672, 836966, 271420, 1382012, 5677464, 15073049, 21527380, 15073049, 5677464, 1382012, 7030000, 38493628

Offset

1,1

Comments

Table starts

........81.........402..........2061..........10488..........53401

.......402........2700.........18062.........122882.........836966

......2061.......18062........167387........1580672.......15073049

.....10488......122882.......1580672.......21527380......297032042

.....53401......836966......15073049......297032042.....6020147131

....271420.....5677464.....142485336.....4061242860...119868748036

...1382012....38493628....1348599340....55269492484..2375043608680

...7030000...261361496...12751872544...754851641410.47198092150236

..35777132..1774467580..120966824930.10327406038280

.182015816.12042475374.1143637823692

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 40]

Example

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

Crossrefs

Sequence in context: A097025 A074387 A008848 * A237176 A357015 A102741

Adjacent sequences: A237179 A237180 A237181 * A237183 A237184 A237185

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2014

Status

approved