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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

%I

%S 160,640,640,2440,3944,2440,9612,22632,22632,9612,36976,138132,194208,

%T 138132,36976,145004,807964,1813476,1813476,807964,145004,559736,

%U 4908404,15981048,26954304,15981048,4908404,559736,2189924,28936484,148503096

%N 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

%C Table starts

%C .....160.......640........2440..........9612..........36976...........145004

%C .....640......3944.......22632........138132.........807964..........4908404

%C ....2440.....22632......194208.......1813476.......15981048........148503096

%C ....9612....138132.....1813476......26954304......369978404.......5494251884

%C ...36976....807964....15981048.....369978404.....7752002928.....179779430264

%C ..145004...4908404...148503096....5494251884...179779430264....6709328689904

%C ..559736..28936484..1317291048...76393662524..3816435022128..224247343748408

%C .2189924.175407492.12194674440.1131348498772.88174304365260.8354188752786996

%H R. H. Hardin, <a href="/A233917/b233917.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 11]

%F k=2: [order 38]

%F k=3: [order 74]

%e Some solutions for n=3 k=4

%e ..0..2..0..3..4....6..2..6..5..6....6..4..6..4..6....6..2..6..5..6

%e ..4..5..4..5..1....4..1..4..1..4....2..5..2..5..2....4..1..3..1..4

%e ..7..3..0..2..0....3..5..6..2..6....0..1..3..1..0....6..2..6..2..0

%e ..5..2..4..5..4....4..1..3..1..3....2..5..2..5..3....4..1..4..1..4

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 17 2013

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Last modified October 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)