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

Author

R. H. Hardin, Feb 06 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

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