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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)