A237324 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 348, 348, 1508, 2108, 1508, 6608, 12756, 12756, 6608, 28772, 79360, 107572, 79360, 28772, 123888, 485484, 949596, 949596, 485484, 123888, 536848, 2938226, 8219232, 12331794, 8219232, 2938226, 536848, 2352448, 17798196, 69761476

Offset

1,1

Comments

Table starts

.......81........348.........1508...........6608............28772

......348.......2108........12756..........79360...........485484

.....1508......12756.......107572.........949596..........8219232

.....6608......79360.......949596.......12331794........156958400

....28772.....485484......8219232......156958400.......2926294296

...123888....2938226.....69761476.....1937821588......51702881184

...536848...17798196....591728030....23858930168.....923349438238

..2352448..110739192...5221400304...317722513312...18611114799608

.10242832..677413956..45243325970..4139126948816..364377495225236

.44104128.4099776412.385224702840.52268979025592.6695911094989872

Links

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

Formula

Empirical for column k:

k=1: a(n) = 356*a(n-4) for n>5

k=2: a(n) = 1400*a(n-4) -6519*a(n-8) +126*a(n-12) for n>14

k=3: [order 32] for n>35

Example

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

Crossrefs

Sequence in context: A236089 A236737 A236730 * A237730 A237317 A237723

Adjacent sequences: A237321 A237322 A237323 * A237325 A237326 A237327

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2014

Status

approved