A237850 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the maximum minus the lower median of every 2 X 2 subblock equal.

81, 369, 369, 1697, 3419, 1697, 8451, 31661, 31661, 8451, 43061, 320263, 581994, 320263, 43061, 224559, 3281101, 11700943, 11700943, 3281101, 224559, 1184701, 34361837, 234481287, 468296881, 234481287, 34361837, 1184701, 6305583

Offset

1,1

Comments

Table starts

.......81.........369...........1697..............8451................43061

......369........3419..........31661............320263..............3281101

.....1697.......31661.........581994..........11700943............234481287

.....8451......320263.......11700943.........468296881..........18440768745

....43061.....3281101......234481287.......18440768745........1409401703979

...224559....34361837.....4792713430......740745901187......110206357256365

..1184701...361511653....97664853059....29535151446365.....8519484749878247

..6305583..3828421599..2001409956781..1184735457700027...663641017294498517

.33742677.40604391821.40948533459224.47377744512643629.51463680784470773221

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 13],

k=2: [order 29],

k=3: [order 70].

Example

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

Crossrefs

Sequence in context: A205513 A017378 A205736 * A205917 A205909 A237843

Adjacent sequences: A237847 A237848 A237849 * A237851 A237852 A237853

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 14 2014

Status

approved