A237488 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal

256, 1464, 1464, 8770, 15898, 8770, 55318, 180730, 180730, 55318, 357516, 2218016, 3903294, 2218016, 357516, 2371070, 27849668, 92508252, 92508252, 27849668, 2371070, 15989568, 361041844, 2218452183, 4269381134, 2218452183, 361041844

Offset

1,1

Comments

Table starts

.......256.........1464............8770..............55318...............357516

......1464........15898..........180730............2218016.............27849668

......8770.......180730.........3903294...........92508252...........2218452183

.....55318......2218016........92508252.........4269381134.........195900496272

....357516.....27849668......2218452183.......195900496272.......16931153946501

...2371070....361041844.....54882960676......9290034002140.....1516655769265371

..15989568...4724446414...1356262078497....435555926502332...133299196435954608

.109427750..62643477220..33916082423836..20718223122880912.11926329656540065908

.756426182.833223795952.845731963650019.977441661859620206

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 30]

k=2: [order 88]

Example

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

Crossrefs

Sequence in context: A237219 A237951 A237946 * A237482 A237150 A237143

Adjacent sequences: A237485 A237486 A237487 * A237489 A237490 A237491

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2014

Status

approved