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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A278129 A184070 A278122 * A233910 A234658 A234651

Adjacent sequences:  A233914 A233915 A233916 * A233918 A233919 A233920

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2013

STATUS

approved

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Last modified January 25 02:46 EST 2021. Contains 340414 sequences. (Running on oeis4.)