A233917 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 30 (30 maximizes T(1,1)), and no two adjacent values equal.

160, 640, 640, 2440, 3944, 2440, 9612, 22632, 22632, 9612, 36976, 138132, 194208, 138132, 36976, 145004, 807964, 1813476, 1813476, 807964, 145004, 559736, 4908404, 15981048, 26954304, 15981048, 4908404, 559736, 2189924, 28936484, 148503096

Offset

1,1

Comments

Table starts

.....160.......640........2440..........9612..........36976...........145004

.....640......3944.......22632........138132.........807964..........4908404

....2440.....22632......194208.......1813476.......15981048........148503096

....9612....138132.....1813476......26954304......369978404.......5494251884

...36976....807964....15981048.....369978404.....7752002928.....179779430264

..145004...4908404...148503096....5494251884...179779430264....6709328689904

..559736..28936484..1317291048...76393662524..3816435022128..224247343748408

.2189924.175407492.12194674440.1131348498772.88174304365260.8354188752786996

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 38]

k=3: [order 74]

Example

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

Crossrefs

Sequence in context: A184070 A387172 A278122 * A233910 A234658 A234651

Adjacent sequences: A233914 A233915 A233916 * A233918 A233919 A233920

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2013

Status

approved