A233939 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 16 (16 maximizes T(1,1))

312, 1996, 1996, 12880, 12864, 12880, 88572, 85080, 85080, 88572, 609912, 661392, 560388, 661392, 609912, 4361260, 5143164, 4772576, 4772576, 5143164, 4361260, 30999664, 46016668, 39604088, 45364028, 39604088, 46016668, 30999664

Offset

1,1

Comments

Table starts

.......312.......1996.......12880.........88572.........609912........4361260

......1996......12864.......85080........661392........5143164.......46016668

.....12880......85080......560388.......4772576.......39604088......441130784

.....88572.....661392.....4772576......45364028......410504080.....5477532268

....609912....5143164....39604088.....410504080.....3922295248....61893678832

...4361260...46016668...441130784....5477532268....61893678832..1043958353356

..30999664..395061480..4313971392...60733857256...749858597396.14007797540268

.226112364.3815093864.56743803908.1079461642560.18513156852252

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

Example

Some solutions for n=2 k=4
..0..3..0..3..0....4..7..6..2..1....4..2..5..1..4....4..1..4..0..2
..5..2..5..2..5....2..5..2..6..1....5..7..6..6..3....5..6..3..5..1
..4..7..6..7..4....4..7..6..2..3....4..2..5..1..2....4..1..2..0..0

Crossrefs

Sequence in context: A339074 A237551 A270608 * A233934 A289793 A364992

Adjacent sequences: A233936 A233937 A233938 * A233940 A233941 A233942

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2013

Status

approved