A235972 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the upper median value of each 2X2 subblock

256, 1964, 1964, 13194, 16744, 13194, 85476, 119770, 119770, 85476, 556486, 856720, 872370, 856720, 556486, 3614066, 6207010, 7116040, 7116040, 6207010, 3614066, 23457361, 44922684, 60649470, 77914322, 60649470, 44922684, 23457361

Offset

1,1

Comments

Table starts

........256.........1964.........13194...........85476............556486

.......1964........16744........119770..........856720...........6207010

......13194.......119770........872370.........7116040..........60649470

......85476.......856720.......7116040........77914322.........886929448

.....556486......6207010......60649470.......886929448.......13646551852

....3614066.....44922684.....512448944.....10093660184......206960732188

...23457361....325144432....4326517048....115542593952.....3197537340066

..152354048...2361022844...36654517336...1334376486922....49364486174800

..990262160..17119474440..310058272376..15242379756616...758580259046316

.6430004688.124220037442.2622217549676.174871682199140.11656623605416228

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>13

k=2: [order 29] for n>34

k=3: [order 88] for n>95

Example

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

Crossrefs

Sequence in context: A237786 A238063 A238058 * A235965 A206188 A205370

Adjacent sequences: A235969 A235970 A235971 * A235973 A235974 A235975

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 17 2014

Status

approved