A237332 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 320, 320, 1264, 1660, 1264, 5120, 8588, 8588, 5120, 20692, 45996, 58296, 45996, 20692, 82800, 242644, 414268, 414268, 242644, 82800, 332192, 1279474, 2870224, 3988852, 2870224, 1279474, 332192, 1346016, 6740992, 19874388, 36921568

Offset

1,1

Comments

Table starts

.......81........320........1264..........5120...........20692...........82800

......320.......1660........8588.........45996..........242644.........1279474

.....1264.......8588.......58296........414268.........2870224........19874388

.....5120......45996......414268.......3988852........36921568.......342809906

....20692.....242644.....2870224......36921568.......449909120......5467718444

....82800....1279474....19874388.....342809906......5467718444.....88161950500

...332192....6740992...137663582....3194951224.....67160833084...1426506722524

..1346016...36117846...978134492...31126440590....873971263352..24924114752042

..5439936..190631336..6780688008..290583883424..10725570823166.399514227564720

.21769152.1005363146.46959680920.2718308070358.130884937973764

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 288*a(n-4) -6720*a(n-8) +33536*a(n-12) for n>15

k=2: [order 32] for n>34

Example

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

Crossrefs

Sequence in context: A237550 A237567 A237560 * A237325 A158776 A101963

Adjacent sequences: A237329 A237330 A237331 * A237333 A237334 A237335

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2014

Status

approved